Updated on 2025/06/26

写真a

 
SAWANO Yoshihiro
 
Organization
Faculty of Science and Engineering Professor
Other responsible organization
Mathematics Course of Graduate School of Science and Engineering, Master's Program
Mathematics Course of Graduate School of Science and Engineering, Doctoral Program
Contact information
The inquiry by e-mail is 《here
Profile
I am Yoshihiro Sawano at Chuo University. My major is harmonic analysis. My textbooks are: Theory of reproducing kernel Hilbert spaces, Theory of Besov spaces, Morrey spaces.
External link

Degree

  • 博士(数理科学) ( 東京大学 )

  • 修士(数理科学) ( 東京大学 )

Education

  • 2006.3
     

    The University of Tokyo   doctor course   completed

  • 2004.3
     

    The University of Tokyo   master course   completed

  • 2002.3
     

    The University of Tokyo   graduated

Research History

  • 2020.4 - Now

    Chuo University   Faculty of Science and Engineering   Professor

  • 2022.4 - 2022.9

    埼玉大学 非常勤講師

  • 2012.4 - 2020.3

    Tokyo Metropolitan University   Graduate School of Science and Engineering   准教授

  • 2012.4 - 2020.3

    Tokyo Metropolitan University   Graduate School of Science and Engineering   Associate Professor

  • 2009.11 - 2012.3

    Kyoto University   Faculty of Science   Assistant Professor

  • 2008.4 - 2009.10

    Gakushuin University   Faculty of Science

  • 2008.4 - 2009.10

    Gakushuin University   Faculty of Science

  • 2005.4 - 2008.3

    日本学術振興会特別研究員採用

  • 2005 - 2007

    日本学術振興会特別研究員採用

  • 東京都立大学 非常勤講師 集中講義

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Professional Memberships

  • THE MATHEMATICAL SOCIETY OF JAPAN

Research Interests

  • real analysis

  • Besov spaces

  • reproducing kernel Hilbert spaces

  • Fourier analysis

  • Integration theory

  • Morrey spaces

  • 調和解析

  • 関数空間

  • 偏微分方程式

Research Areas

  • Natural Science / Basic analysis  / Basic analysis

Papers

  • A Note on Carlen–Jauslin–Lieb–Loss’s Convolution Inequality $$f \ge f* f$$

    Shohei Nakamura, Yoshihiro Sawano

    The Journal of Geometric Analysis   35 ( 2 )   2025.2

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s12220-025-01901-z

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  • Theory of Besov spaces Reviewed

    Yoshihiro Sawano

    Developments in Mathematics   56   1 - 938   2018

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    Authorship:Lead author, Corresponding author   Publishing type:Part of collection (book)  

    DOI: 10.1007/978-981-13-0836-9_1

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  • An Equivalent Norm of Besov–Morrey Spaces in Terms of Chemin–Lerner Spaces

    Yoshihiro Sawano, Taiki Takeuchi

    Mathematical Methods in the Applied Sciences   2025.5

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1002/mma.11045

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  • An equivalent norm of Herz spaces and its application to the Carleson operator Reviewed

    Yoshihiro Sawano

    Hilbert Journal of Mathematical Analysis   3 ( 1 )   001 - 006   2025.1

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Komunitas Analisis Matematika Indonesia  

    By establishing a new norm equivalence on Herz spaces using the Muckenhoupt class, the boundedness of the maximal modulated singular integral operators is established. This boundedness also boils down to the boundedness of the Carleson operator over the real line.

    DOI: 10.62918/hjma.v3i1.29

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  • New Characterization of Morrey-Herz Spaces and Morrey-Herz-Hardy Spaces with Applications to Various Linear Operators

    Kwok Pun Ho, Yoshihiro Sawano

    Acta Mathematica Sinica, English Series   41 ( 1 )   327 - 354   2025.1

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s10114-025-3570-2

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  • New Characterization of $$\boldsymbol{p}$$-Adic Herz Spaces with Applications to the Vector-valued Maximal Inequality of Fefferman–Stein Type Invited Reviewed

    Y. Sawano

    Lobachevskii Journal of Mathematics   45 ( 12 )   6201 - 6208   2024.12

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Pleiades Publishing Ltd  

    DOI: 10.1134/s1995080224607641

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    Other Link: https://link.springer.com/article/10.1134/S1995080224607641/fulltext.html

  • Fractional operators with homogeneous kernel on the Calderón product of Morrey spaces

    Daniel Salim, Moch Taufik Hakiki, Yoshihiro Sawano, Denny Ivanal Hakim, Muhamad Jamaludin

    Mathematische Nachrichten   297 ( 9 )   3567 - 3573   2024.9

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    DOI: 10.1002/mana.202400043

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  • Erratum to: Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz–Morrey spaces of the third kind

    Fatih Deringoz, Vagif S. Guliyev, Eiichi Nakai, Yoshihiro Sawano, Minglei Shi

    Positivity   28 ( 3 )   2024.7

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s11117-023-01023-2

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  • Elementary proof of Funahashi's theorem

    Mitsuo Izuki, Takahiro Noi, Yoshihiro Sawano, Hirokazu Tanaka

    Constructive Mathematical Analysis   7 ( 2 )   30 - 44   2024.6

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    Publishing type:Research paper (scientific journal)   Publisher:Constructive Mathematical Analysis  

    DOI: 10.33205/cma.1466429

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  • Extrapolation to two-weighted Herz spaces with three variable exponents

    Mitsuo Izuki, Takahiro Noi, Yoshihiro Sawano

    Advances in Operator Theory   9 ( 3 )   2024.4

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    Publishing type:Research paper (scientific journal)   Publisher:Springer Science and Business Media LLC  

    DOI: 10.1007/s43036-024-00333-w

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    Other Link: https://link.springer.com/article/10.1007/s43036-024-00333-w/fulltext.html

  • Non-smooth atomic decomposition of Triebel–Lizorkin-type spaces

    Yoshihiro Sawano, Dachun Yang, Wen Yuan

    Banach Journal of Mathematical Analysis   18 ( 2 )   2024.4

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    DOI: 10.1007/s43037-023-00321-x

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  • Global Universality of the Two-Layer Neural Network with the k-Rectified Linear Unit

    Naoya Hatano, Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano

    Journal of Function Spaces   2024   2024.1

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1155/2024/3262798

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  • Singular limit problem for the Keller–Segel system and drift-diffusion system in scaling critical Besov–Morrey spaces

    Toru Nogayama, Yoshihiro Sawano

    Journal of Mathematical Analysis and Applications   529 ( 2 )   2024.1

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jmaa.2023.127207

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  • Bourgain–Morrey Spaces Mixed with Structure of Besov Spaces

    Yirui Zhao, Yoshihiro Sawano, Jin Tao, Dachun Yang, Wen Yuan

    Proceedings of the Steklov Institute of Mathematics   323 ( 1 )   244 - 295   2023.12

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1134/S0081543823050152

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  • On the convergence of Kantorovich operators in Morrey spaces

    Mu’afa Purwa Arsana, Reinhart Gunadi, Denny Ivanal Hakim, Yoshihiro Sawano

    Positivity   27 ( 4 )   2023.9

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    DOI: 10.1007/s11117-023-01004-5

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  • Spaceablity in weak Morrey spaces

    Yoshihiro Sawano, Seyyed Mohammad Tabatabaie

    Indian Journal of Pure and Applied Mathematics   54 ( 3 )   663 - 666   2023.9

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s13226-023-00440-z

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  • On the reflexivity of the spaces of variable integrability and summability

    Arash Ghorbanalizadeh, Reza Roohi Seraji, Yoshihiro Sawano

    Revista Matematica Complutense   36 ( 3 )   859 - 868   2023.9

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s13163-022-00447-w

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  • On the Weak Boundedness of Multilinear Littlewood–Paley Functions

    Mahdi Hormozi, Yoshihiro Sawano, Kôzô Yabuta

    Journal of Fourier Analysis and Applications   29 ( 4 )   2023.8

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s00041-023-10030-6

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  • MARTINGALE HARDY SPACES BASED ON QUASI-BANACH FUNCTION LATTICES

    Yoshihiro Sawano

    Transactions of A. Razmadze Mathematical Institute   177 ( 2 )   259 - 273   2023.8

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  • Weighted local Hardy spaces with variable exponents

    Mitsuo Izuki, Toru Nogayama, Takahiro Noi, Yoshihiro Sawano

    MATHEMATISCHE NACHRICHTEN   296 ( 12 )   5710 - 5785   2023.7

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1002/mana.202200248

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  • Heaviside function as an activation function

    Naoya Hatano, Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano

    Journal of Applied Analysis   29 ( 1 )   1 - 2   2023.6

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1515/jaa-2022-2012

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  • A remark on the atomic decomposition in Hardy spaces based on the convexification of ball Banach spaces

    Yoshihiro Sawano, Kazuki Kobayashi

    Potentials and Partial Differential Equations: The Legacy of David R. Adams   157 - 178   2023.5

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    Publishing type:Part of collection (book)  

    DOI: 10.1515/9783110792720-007

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  • Bourgain–Morrey spaces and their applications to boundedness of operators Reviewed

    Naoya Hatano, Toru Nogayama, Yoshihiro Sawano, Denny Ivanal Hakim

    Journal of Functional Analysis   284 ( 1 )   109720 - 109720   2023.1

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    Publishing type:Research paper (scientific journal)   Publisher:Elsevier BV  

    DOI: 10.1016/j.jfa.2022.109720

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  • LITTLEWOOD–PALEY CHARACTERIZATION OF DISCRETE MORREY SPACES AND ITS APPLICATION TO THE DISCRETE MARTINGALE TRANSFORM

    Y. Abe, Y. Sawano

    Matematiche   78 ( 2 )   337 - 358   2023

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.4418/2023.78.2.4

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  • MAXIMAL REGULARITY IN MORREY SPACES AND ITS APPLICATION TO TWO-DIMENSIONAL KELLER–SEGEL SYSTEM

    Toru Nogayama, Yoshihiro Sawano

    Advances in Mathematical Sciences and Applications   32 ( 1 )   97 - 134   2023

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  • Local and global solvability for Keller–Segel system in Besov–Morrey spaces Reviewed

    Toru Nogayama, Yoshihiro Sawano

    Journal of Mathematical Analysis and Applications   516 ( 1 )   126508 - 126508   2022.12

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    Publishing type:Research paper (scientific journal)   Publisher:Elsevier BV  

    DOI: 10.1016/j.jmaa.2022.126508

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  • Complex Interpolation of Modified Weighted Grand Lebesgue Spaces

    Dina Nur Amalina, Moch Taufik Hakiki, Denny Ivanal Hakim, Ifronika, Yoshihiro Sawano

    Mediterranean Journal of Mathematics   19 ( 6 )   2022.12

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s00009-022-02168-2

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  • Sparse Non-Smooth Atomic Decomposition of Quasi-Banach Lattices Invited Reviewed

    Naoya Hatano, Ryota Kawasumi, Yoshihiro Sawano

    Journal of Fourier Analysis and Applications   2022.8

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    DOI: 10.1007/s00041-022-09956-0

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  • A remark on the paper"Vector-valued operators with singular kernel and Triebel-Lizorkin block spaces with variable exponents" by Kwok Pun Ho Reviewed

    Naoya Hatano, Toru Nogayama, Yoshihiro Sawano

    Kyoto Journal of Mathematics   62 ( 2 )   357 - 375   2022.6

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    Authorship:Lead author, Corresponding author   Publishing type:Research paper (scientific journal)  

    DOI: 10.1215/21562261-2022-0008

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  • Spaceability on Morrey Spaces Reviewed

    Y. Sawano, S. M. Tabatabaie

    Iranian Journal of Mathematical Sciences and Informatics   17 ( 1 )   219 - 225   2022.4

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    Authorship:Lead author, Corresponding author   Publishing type:Research paper (scientific journal)   Publisher:CMV Verlag  

    DOI: 10.52547/ijmsi.17.1.219

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  • Multiplier conditions for Boundedness into Hardy spaces Reviewed International coauthorship

    Loukas Grafakos, Shohei Nakamura, Hanh Van Nguyen, Yoshihiro Sawano

    Annales de l'Institut Fourier   71 ( 3 )   1047 - 1064   2022.3

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    Authorship:Corresponding author   Publishing type:Research paper (scientific journal)   Publisher:Cellule MathDoc/CEDRAM  

    DOI: 10.5802/aif.3416

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  • Atomic and Wavelet Characterization of Musielak–Orlicz Hardy Spaces for Generalized Orlicz Functions Reviewed

    Mitsuo Izuki, Eiichi Nakai, Yoshihiro Sawano

    Integral Equations and Operator Theory   94 ( 1 )   2022.3

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    Authorship:Lead author, Corresponding author   Publishing type:Research paper (scientific journal)   Publisher:Springer Science and Business Media {LLC}  

    DOI: 10.1007/s00020-021-02672-2

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  • Universality of neural networks with a sigmoidal activation or discriminatory function on Banach lattices over the real line Reviewed

    Naoya Hatano, Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano

    Journal of Mathematical Science   2022

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    DOI: 10.1007/s10958-022-05889-7

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  • Sharp Bounds for Certain m-linear Integral Operators on p-adic Function Spaces Reviewed

    Tserendorj Batbold, Yoshihiro Sawano, Ganbaatar Tumendemberel

    Filomat   36 ( 3 )   801 - 812   2022

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.2298/FIL2203801B

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  • A note on the paper “Singular integral operators in generalized Morrey spaces on curves in the complex plane”, Mediterr. J. Math. (2017) 14: 203. doi.org/10.1007/s00009-017-1004-9, by E. Burtseva Reviewed

    Vagif S. Guliyev, Yoshihiro Sawano

    Journal of Mathematical Inequalities   ( 1 )   345 - 346   2022

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    Authorship:Lead author   Publishing type:Research paper (scientific journal)   Publisher:Element d.o.o.  

    DOI: 10.7153/jmi-2022-16-24

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  • Wavelet Characterization of Local Muckenhoupt Weighted Sobolev Spaces with Variable Exponents Reviewed

    Mitsuo Izuki, Toru Nogayama, Takahiro Noi, Yoshihiro Sawano

    Constructive Approximation   57 ( 1 )   161 - 234   2022

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    DOI: 10.1007/s00365-022-09573-6

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  • Relatively Compact Sets in Variable Exponent Morrey Spaces on Metric Spaces Reviewed

    Rovshan A. Bandaliyev, Przemysław Górka, Vagif S. Guliyev, Yoshihiro Sawano

    Mediterranean Journal of Mathematics   18 ( 6 )   2021.12

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    Publishing type:Research paper (scientific journal)   Publisher:Springer Science and Business Media LLC  

    Abstract

    We study a characterization of the precompactness of sets in variable exponent Morrey spaces on bounded metric measure spaces. Totally bounded sets are characterized from several points of view for the case of variable exponent Morrey spaces over metric measure spaces. This characterization is new in the case of constant exponents.

    DOI: 10.1007/s00009-021-01828-z

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    Other Link: https://link.springer.com/article/10.1007/s00009-021-01828-z/fulltext.html

  • Fractional Maximal Operator on Musielak–Orlicz Spaces Over Unbounded Quasi-Metric Measure Spaces Reviewed

    Yoshihiro Sawano, Tetsu Shimomura

    Results in Mathematics   76 ( 4 )   2021.12

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    Authorship:Lead author, Corresponding author   Publishing type:Research paper (scientific journal)   Publisher:Springer Science and Business Media {LLC}  

    DOI: 10.1007/s00025-021-01490-7

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  • Complex interpolation of variable Morrey spaces Reviewed

    Denny Ivanal Hakim, Yoshihiro Sawano

    Mathematische Nachrichten   294 ( 11 )   2140 - 2150   2021.11

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    Publishing type:Research paper (scientific journal)   Publisher:Wiley  

    DOI: 10.1002/mana.202000513

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    Other Link: https://onlinelibrary.wiley.com/doi/full-xml/10.1002/mana.202000513

  • Spaces of Pointwise Multipliers on Morrey Spaces and Weak Morrey Spaces Reviewed

    Eiichi Nakai, Yoshihiro Sawano

    Mathematics   2021.10

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    Authorship:Lead author, Corresponding author   Publishing type:Research paper (scientific journal)  

    DOI: 10.3390/math9212754

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  • Atomic Decomposition for Mixed Morrey Spaces Reviewed

    Toru Nogayama, Takahiro Ono, Daniel Salim, Yoshihiro Sawano

    The Journal of Geometric Analysis   31 ( 9 )   9338 - 9365   2021.9

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    Publishing type:Research paper (scientific journal)   Publisher:Springer Science and Business Media LLC  

    DOI: 10.1007/s12220-020-00513-z

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    Other Link: https://link.springer.com/article/10.1007/s12220-020-00513-z/fulltext.html

  • Inclusions in Generalized Orlicz Spaces Reviewed

    Yoshihiro Sawano, Seyyed Mohammad Tabatabaie

    Bulletin of the Iranian Mathematical Society   47 ( 4 )   1227 - 1233   2021.8

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    DOI: 10.1007/s41980-020-00437-y

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  • Disjoint dynamics of weighted translations on solid spaces Reviewed

    Yoshihiro Sawano, Seyyed Mohammad Tabatabaie, Fatemeh Shahhoseini

    Topology and its Applications   298   2021.7

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.topol.2021.107709

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  • Complex interpolation of the predual of Morrey spaces over measure spaces Reviewed

    Victor I. Burenkov, Denny I. Hakim, Eiichi Nakai, Yoshihiro Sawano, Takuya Sobukawa, Tamara V. Tararykova

    Georgian Mathematical Journal   28 ( 3 )   341 - 348   2021.6

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    DOI: 10.1515/gmj-2019-2070

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  • Weighted Hankel Transform and Its Applications to Fourier Transform Reviewed

    Masami Okada, Yoshihiro Sawano

    Journal of Fourier Analysis and Applications   27 ( 2 )   2021.4

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    DOI: 10.1007/s00041-021-09831-4

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  • Generalized fractional integral operators on Orlicz–Hardy spaces Reviewed

    Ryutaro Arai, Eiichi Nakai, Yoshihiro Sawano

    Mathematische Nachrichten   294 ( 2 )   224 - 235   2021.2

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    DOI: 10.1002/mana.201900052

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  • Complex Interpolation and the Adams Theorem Reviewed

    Yoshihiro Sawano, Satoko Sugano

    Potential Analysis   54 ( 2 )   299 - 305   2021.2

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    DOI: 10.1007/s11118-020-09827-7

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  • On the compactness and spectra of the generalized difference operator on the spaces ℓ and bv Reviewed

    Saad R. El-Shabrawy, Yoshihiro Sawano

    Operators and Matrices   15 ( 3 )   959 - 983   2021

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.7153/oam-2021-15-62

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  • The spectra of the generalized difference operators on the spaces of convergent series Reviewed

    Yoshihiro Sawano, Saad R. El-Shabrawy

    Linear and Multilinear Algebra   69 ( 4 )   732 - 751   2021

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    Publishing type:Research paper (scientific journal)   Publisher:Informa {UK} Limited  

    DOI: 10.1080/03081087.2019.1617231

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  • Cantor functions associated with generalized expansions Reviewed

    Yoshihiro Sawano, Haruka Fujiwara

    Transactions Issue Mathematics, Azerbaijan National Academy of Sciences   41 ( 4 )   136 - 141   2021

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  • Boundedness of composition operators on Morrey spaces and weak Morrey spaces Reviewed

    Naoya Hatano, Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano

    Journal of Inequalities and Applications   2021 ( 1 )   2021

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1186/s13660-021-02599-7

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  • Local Muckenhoupt class for variable exponents Reviewed

    Toru Nogayama, Yoshihiro Sawano

    Journal of Inequalities and Applications   2021 ( 1 )   2021

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1186/s13660-021-02601-2

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  • Singular integral operators acting on Orlicz-Morrey spaces of the first kind Invited Reviewed

    Yoshihiro Sawano

    Nonlinear Studies   2021

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  • A Refinement of the Adams Theorem on the Riesz Potential Invited Reviewed

    Yoshihiro Sawano

    Springer Proceedings in Mathematics and Statistics   357   497 - 506   2021

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    Authorship:Lead author, Corresponding author   Publishing type:Research paper (international conference proceedings)   Publisher:Springer International Publishing  

    DOI: 10.1007/978-3-030-77493-6_29

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  • Applications of interpolation methods and Morrey spaces to elliptic PDEs Reviewed

    Mieczysław Mastyło, Yoshihiro Sawano

    ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE   999 - 1021   2020.12

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    Authorship:Lead author, Corresponding author   Publishing type:Research paper (scientific journal)   Publisher:Scuola Normale Superiore - Edizioni della Normale  

    DOI: 10.2422/2036-2145.201807_001

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  • Some modular inequalities in lebesgue spaces with a variable exponent Reviewed

    Mitsuo Izuki, Takahiro Noi, Yoshihiro Sawano

    Transactions of A. Razmadze Mathematical Institute   174 ( 3 )   343 - 349   2020.12

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  • Sparse non-smooth atomic decomposition of Morrey spaces Reviewed

    Yoshihiro Sawano

    Mathematical Methods in the Applied Sciences   43 ( 16 )   9320 - 9326   2020.11

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    Authorship:Lead author, Corresponding author   Language:English   Publishing type:Research paper (international conference proceedings)   Publisher:Wiley  

    DOI: 10.1002/mma.6112

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    Other Link: https://onlinelibrary.wiley.com/doi/full-xml/10.1002/mma.6112

  • Predual spaces of generalized grand Morrey spaces over non-doubling measure spaces Reviewed

    Yoshihiro Sawano, Tetsu Shimomura

    Georgian Mathematical Journal   27 ( 3 )   433 - 439   2020.9

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    Authorship:Lead author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1515/gmj-2018-0068

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  • Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent Reviewed

    Mitsuo Izuki, Toru Nogayama, Takahiro Noi, Yoshihiro Sawano

    Nonlinear Analysis, Theory, Methods and Applications   198   111930 - 111930   2020.9

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    Authorship:Lead author, Corresponding author   Publishing type:Research paper (scientific journal)   Publisher:Elsevier {BV}  

    DOI: 10.1016/j.na.2020.111930

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    Other Link: http://arxiv.org/pdf/1912.03400v1

  • Bilinear rough singular integral operators on Morrey spaces Reviewed

    Daniel Salim, Yoshihiro Sawano, Pebrudal Zanu

    Journal of Analysis   28 ( 3 )   817 - 825   2020.9

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    Authorship:Corresponding author   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s41478-019-00206-z

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  • Complex interpolation of various subspaces of Morrey spaces Reviewed

    Denny Ivanal Hakim, Yoshihiro Sawano

    Science China Mathematics   63 ( 5 )   937 - 964   2020.5

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    Authorship:Lead author, Corresponding author   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s11425-017-9318-0

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  • Fine spectra of the discrete generalized Cesàro operator on Banach sequence spaces Reviewed

    Yoshihiro Sawano, Saad R. El-Shabrawy

    Monatshefte fur Mathematik   192 ( 1 )   185 - 224   2020.5

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    DOI: 10.1007/s00605-020-01376-w

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  • Homogeneous Besov spaces Invited Reviewed

    Yoshihiro Sawano

    Kyoto Journal of Mathematics   60 ( 1 )   1 - 43   2020.4

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    DOI: 10.1215/21562261-2019-0038

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  • Generalized Riesz potentials of functions in Morrey spaces L (1,φ;κ)(G) over non-doubling measure spaces Reviewed

    Yoshihiro Sawano, Masaki Shigematsu, Tetsu Shimomura

    Forum Mathematicum   32 ( 2 )   339 - 359   2020.3

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    DOI: 10.1515/forum-2019-0140

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  • A Weak Type Vector-Valued Inequality for the Modified Hardy-Littlewood Maximal Operator for General Radon Measure on Rn Reviewed

    Yoshihiro Sawano

    Analysis and Geometry in Metric Spaces   8 ( 1 )   261 - 267   2020.1

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    DOI: 10.1515/agms-2020-0113

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  • Dissertationes mathematicae Reviewed

    Yuzuru Inahama, Yoshihiro Sawano

    Dissertationes Mathematicae   558   2020

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    DOI: 10.4064/dm806-7-2020

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  • A global universality of two-layer neural networks with ReLU activations. Reviewed

    Naoya Hatano, Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano

    CoRR   abs/2011.10225   1 - 3   2020

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    In the present study, we investigate a universality of neural networks, which concerns a density of the set of two-layer neural networks in function spaces. There are many works that handle the convergence over compact sets. In the present paper, we consider a global convergence by introducing a norm suitably, so that our results will be uniform over any compact set.

    DOI: 10.1155/2021/6637220

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  • Uniform boundedness of szász–mirakjan–kantorovich operators in morrey spaces with variable exponents Reviewed

    Yoshihiro Sawano, Xinxin Tian, Jingshi Xu

    Filomat   34 ( 7 )   2109 - 2121   2020

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    DOI: 10.2298/FIL2007109S

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  • Gagliardo-Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces over quasi-metric measure spaces Reviewed

    Daiki Hashimoto, Yoshihiro Sawano, Tetsu Shimomura

    Colloquium Mathematicum   161 ( 1 )   51 - 66   2020

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    DOI: 10.4064/cm7535-4-2019

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  • Weighted local morrey spaces Reviewed

    Shohei Nakamura, Yoshihiro Sawano, Hitoshi Tanaka

    Annales Academiae Scientiarum Fennicae Mathematica   45 ( 1 )   67 - 93   2020

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    DOI: 10.5186/aasfm.2020.4504

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  • Correction to: Fine spectra of the discrete generalized Cesàro operator on Banach sequence spaces (Monatshefte für Mathematik, (2020), 10.1007/s00605-020-01376-w) Reviewed

    Yoshihiro Sawano, Saad R. El-Shabrawy

    Monatshefte fur Mathematik   2020

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    DOI: 10.1007/s00605-020-01401-y

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  • On the equivalence of the K-functional and the modulus of continuity on the Morrey spaces Reviewed

    Victor Burenkov, Arash Ghorbanalizadeh, Yoshihiro Sawano

    Journal of Approximation Theory   248   2019.12

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    DOI: 10.1016/j.jat.2019.105295

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  • On the Strichartz estimates for orthonormal systems of initial data with regularity Reviewed

    Neal Bez, Younghun Hong, Sanghyuk Lee, Shohei Nakamura, Yoshihiro Sawano

    Advances in Mathematics   354   2019.10

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    DOI: 10.1016/j.aim.2019.106736

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  • Riesz transform and fractional integral operators generated by nondegenerate elliptic differential operators Reviewed

    Yoshihiro Sawano, Denny Ivanal Hakim, Daniel Salim

    Advances in Operator Theory   4 ( 4 )   750 - 766   2019.9

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    DOI: 10.15352/aot.1812-1443

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  • Approximation by trigonometric polynomials in variable exponent Morrey spaces Reviewed

    Vagif S. Guliyev, Arash Ghorbanalizadeh, Yoshihiro Sawano

    Analysis and Mathematical Physics   9 ( 3 )   1265 - 1285   2019.9

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    DOI: 10.1007/s13324-018-0231-y

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  • Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz–Morrey spaces of the third kind Reviewed

    Fatih Deringoz, Vagif S. Guliyev, Eiichi Nakai, Yoshihiro Sawano, Minglei Shi

    Positivity   23 ( 3 )   727 - 757   2019.7

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    DOI: 10.1007/s11117-018-0635-9

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  • Some Modular Inequalities in Lebesgue Spaces with Variable Exponent on the Complex Plane Reviewed

    M. Izuki, T. Koyama, T. Noi, Y. Sawano

    Mathematical Notes   106 ( 1-2 )   229 - 234   2019.7

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    DOI: 10.1134/S0001434619070265

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  • Orlicz-fractional maximal operators on weighted Lp spaces Reviewed

    Takeshi Iida, Yoshihiro Sawano

    Journal of Mathematical Inequalities   13 ( 2 )   369 - 413   2019.6

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    DOI: 10.7153/jmi-2019-13-26

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  • COMPLEX INTERPOLATION OF SMOOTHNESS TRIEBEL-LIZORKIN-MORREY SPACES Invited Reviewed

    Yoshihiro Sawano, Denny Ivanal Hakim, Toru Nogayama

    Math. J. Okayama Univ.   61   99 - 128   2019.2

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  • Non-smooth decomposition of homogeneous Triebel−Lizorkin−Morrey spaces

    Yoshihiro Sawano, Keisuke Asami

    Commentationes Mathematicae   58 ( 1-2 )   2019.1

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    DOI: 10.14708/cm.v58i1-2.6381

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  • Boundedness of generalized Riesz potentials of functions in Morrey spaces L (1,ϕ</sup> ;κ ) (G) over non–doubling measure spaces Reviewed

    Yoshihiro Sawano, Tetsu Shimomura

    Mathematical Inequalities and Applications   22 ( 2 )   577 - 599   2019

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    DOI: 10.7153/mia-2019-22-41

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  • Three geometric constants for morrey spaces Reviewed

    Hendra Gunawan, Eder Kikianty, Yoshihiro Sawano, Christopher Schwanke

    Bulletin of the Korean Mathematical Society   56 ( 6 )   1569 - 1575   2019

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    DOI: 10.4134/BKMS.b190010

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  • Maximal operator on orlicz spaces of two variable exponents over unbounded quasi-metric measure spaces Reviewed

    Yoshihiro Sawano, Tetsu Shimomura

    Proceedings of the American Mathematical Society   147 ( 7 )   2877 - 2885   2019

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    DOI: 10.1090/proc/14225

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  • The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMO Reviewed

    Mitsuo Izuki, Takahiro Noi, Yoshihiro Sawano

    Journal of Inequalities and Applications   2019 ( 1 )   2019

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    DOI: 10.1186/s13660-019-2220-6

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  • Complex interpolation and Calderón-Mityagin couples of morrey spaces Reviewed International coauthorship

    Mieczysław Mastyło, Yoshihiro Sawano

    Analysis and PDE   12 ( 7 )   1465 - 1494   2019

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    DOI: 10.2140/apde.2019.12.1465

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  • A thought on generalized Morrey spaces Invited Reviewed

    Yoshihiro Sawano

    JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY   25 ( 3 )   210 - 281   2018.12

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    DOI: 10.22342/jims.1.1.819.41-112

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  • Uniform boundedness of Kantorovich operators in Morrey spaces Invited Reviewed

    Victor Burenkov, Arash Ghorbanalizadeh, Yoshihiro Sawano

    Positivity   22 ( 4 )   1097 - 1107   2018.9

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    DOI: 10.1007/s11117-018-0561-x

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  • A predual of a predual of B<inf>σ</inf> and its applications to commutators Reviewed

    Yoshihiro Sawano, Hiroko Yoshida

    Science China Mathematics   61 ( 8 )   1437 - 1472   2018.8

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    DOI: 10.1007/s11425-017-9187-3

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  • Morrey-type Space and Its Köthe Dual Space Reviewed

    Mieczysław Mastyło, Yoshihiro Sawano, Hitoshi Tanaka

    Bulletin of the Malaysian Mathematical Sciences Society   41 ( 3 )   1181 - 1198   2018.7

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    DOI: 10.1007/s40840-016-0382-7

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  • The Hardy and Heisenberg inequalities in Morrey spaces Reviewed

    Hendra Gunawan, Denny Ivanal Hakim, Eiichi Nakai, Yoshihiro Sawano

    Bulletin of the Australian Mathematical Society   97 ( 3 )   480 - 491   2018.6

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    DOI: 10.1017/S0004972717001216

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    Other Link: http://arxiv.org/pdf/1802.06531v1

  • Density, Duality and Preduality in Grand Variable Exponent Lebesgue and Morrey Spaces Reviewed

    Alexander Meskhi, Yoshihiro Sawano

    Mediterranean Journal of Mathematics   15 ( 3 )   2018.6

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    DOI: 10.1007/s00009-018-1145-5

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    Other Link: http://arxiv.org/pdf/1710.02383v1

  • Generalized fractional integral operators on generalized Orlicz-Morrey spaces of the second kind over non-doubling metric measure spaces Reviewed

    Yoshihiro Sawano, Tetsu Shimomura

    Georgian Mathematical Journal   25 ( 2 )   303 - 311   2018.6

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    DOI: 10.1515/gmj-2018-0018

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  • The Fractional Operators on Weighted Morrey Spaces Reviewed

    Shohei Nakamura, Yoshihiro Sawano, Hitoshi Tanaka

    Journal of Geometric Analysis   28 ( 2 )   1502 - 1524   2018.4

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    DOI: 10.1007/s12220-017-9876-2

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  • Complex interpolation of -spaces Reviewed

    Denny Ivanal Hakim, Shohei Nakamura, Yoshihiro Sawano, Takuya Sobukawa

    Complex Variables and Elliptic Equations   63 ( 4 )   569 - 590   2018.4

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    DOI: 10.1080/17476933.2017.1327954

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  • On inclusion relation between weak Morrey spaces and Morrey spaces Reviewed

    Hendra Gunawan, Denny Ivanal Hakim, Eiichi Nakai, Yoshihiro Sawano

    Nonlinear Analysis, Theory, Methods and Applications   168   27 - 31   2018.3

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    DOI: 10.1016/j.na.2017.11.005

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  • New function spaces related to Morrey spaces and the Fourier transform Reviewed

    Shohei Nakamura, Yoshihiro Sawano

    Banach Journal of Mathematical Analysis   12 ( 1 )   1 - 30   2018.1

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    DOI: 10.1215/17358787-2017-0014

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  • Weak Morrey spaces with applications Reviewed

    Yoshihiro Sawano, Saad R. El-Shabrawy

    Mathematische Nachrichten   291 ( 1 )   178 - 186   2018.1

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    DOI: 10.1002/mana.201700001

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  • On the boundedness of certain elliptic differential operators in generalized Morrey spaces Reviewed

    Denny Ivanal Hakim, Yoshihiro Sawano

    2018

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  • Integral representation of the global minimizer. Reviewed

    Sho Sonoda, Isao Ishikawa, Masahiro Ikeda, Kei Hagihara, Yoshihiro Sawano, Takuo Matsubara, Noboru Murata

    CoRR   abs/1805.07517   2018

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  • Morrey spaces from various points of view Invited Reviewed

    Yoshihiro Sawano

    Springer Proceedings in Mathematics and Statistics   262   139 - 160   2018

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    DOI: 10.1007/978-3-030-00874-1_5

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  • A remark on modified morrey spaces on metric measure spaces Reviewed

    Yoshihiro Sawano, Tetsu Shimomura, Hitoshi Tanaka

    Hokkaido Mathematical Journal   47 ( 1 )   1 - 15   2018

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    DOI: 10.14492/hokmj/1520928055

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  • Applications: PDEs, the T1 theorem and related function spaces

    Yoshihiro Sawano

    Developments in Mathematics   56   565 - 707   2018

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    DOI: 10.1007/978-981-13-0836-9_5

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  • Various function spaces

    Yoshihiro Sawano

    Developments in Mathematics   56   709 - 889   2018

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    DOI: 10.1007/978-981-13-0836-9_6

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  • Relation with other function spaces

    Yoshihiro Sawano

    Developments in Mathematics   56   321 - 428   2018

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    DOI: 10.1007/978-981-13-0836-9_3

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  • Decomposition of function spaces and its applications

    Yoshihiro Sawano

    Developments in Mathematics   56   429 - 564   2018

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    DOI: 10.1007/978-981-13-0836-9_4

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  • Elementary facts on harmonic analysis

    Yoshihiro Sawano

    Developments in Mathematics   56   1 - 204   2018

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    DOI: 10.1007/978-981-13-0836-9_1

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  • Besov spaces, Triebel–Lizorkin spaces and modulation spaces

    Yoshihiro Sawano

    Developments in Mathematics   56   205 - 320   2018

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    DOI: 10.1007/978-981-13-0836-9_2

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  • Weighted Morrey spaces--complex interpolation and the boundedness of the Hardy-Littlewood maximal operator Invited Reviewed

    Hakim, Denny Ivanal, Nakamura, Shohei, Sawano, Yoshihiro

    2018

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  • A Drosophila ex vivo model of olfactory appetitive learning Reviewed International journal

    Ema Suzuki-Sawano, Kohei Ueno, Shintaro Naganos, Yoshihiro Sawano, Junjiro Horiuchi, Minoru Saitoe

    Scientific Reports   7 ( 1 )   17725 - 17725   2017.12

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    DOI: 10.1038/s41598-017-17955-1

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  • Complex Interpolation of Smoothness Morrey Subspaces Reviewed

    Denny Ivanal Hakim, Shohei Nakamura, Yoshihiro Sawano

    Constructive Approximation   46 ( 3 )   489 - 563   2017.12

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    DOI: 10.1007/s00365-017-9392-4

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  • A non-dense subspace in M<inf>q</inf>p with 1&lt;q&lt;p&lt;∞ Reviewed

    Yoshihiro Sawano

    Transactions of A. Razmadze Mathematical Institute   171 ( 3 )   379 - 380   2017.12

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    DOI: 10.1016/j.trmi.2017.05.001

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  • Compactness of the commutators generated by Lipschitz functions and fractional integral operators Reviewed

    T. Nogayama, Y. Sawano

    Mathematical Notes   102 ( 5-6 )   687 - 697   2017.11

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    DOI: 10.1134/S0001434617110086

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  • Calderón’s First and Second Complex Interpolations of Closed Subspaces of Morrey Spaces Reviewed

    Denny Ivanal Hakim, Yoshihiro Sawano

    Journal of Fourier Analysis and Applications   23 ( 5 )   1195 - 1226   2017.10

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    DOI: 10.1007/s00041-016-9503-9

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  • Complex interpolation of grand Lebesgue spaces Reviewed

    Denny Ivanal Hakim, Mitsuo Izuki, Yoshihiro Sawano

    Monatshefte fur Mathematik   184 ( 2 )   245 - 272   2017.10

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    DOI: 10.1007/s00605-017-1022-5

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  • Decompositions of local Morrey-type spaces Reviewed

    Vagif S. Guliyev, Sabir G. Hasanov, Yoshihiro Sawano

    Positivity   21 ( 3 )   1223 - 1252   2017.9

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    DOI: 10.1007/s11117-016-0463-8

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  • Elliptic equations with discontinuous coefficients in generalized Morrey spaces Reviewed

    Giuseppe Di Fazio, Denny Ivanal Hakim, Yoshihiro Sawano

    European Journal of Mathematics   3 ( 3 )   728 - 762   2017.9

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    DOI: 10.1007/s40879-017-0168-y

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  • Generalized fractional integral operators over non-doubling metric measure spaces Reviewed

    Yoshihiro Sawano, Tetsu Shimomura

    Integral Transforms and Special Functions   28 ( 7 )   534 - 546   2017.7

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    DOI: 10.1080/10652469.2017.1318281

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  • Muckenhoupt–Wheeden conjectures for fractional integral operators Reviewed

    Yoshihiro Sawano, Satoko Sugano, Hitoshi Tanaka

    Journal of Mathematical Analysis and Applications   449 ( 1 )   456 - 463   2017.5

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    DOI: 10.1016/j.jmaa.2016.11.074

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  • The singular integral operator and its commutator on weighted Morrey spaces Reviewed

    Shohei Nakamura, Yoshihiro Sawano

    Collectanea Mathematica   68 ( 2 )   145 - 174   2017.5

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    DOI: 10.1007/s13348-017-0193-7

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  • Sharp bounds for m-linear hilbert-type operators on the weighted morrey spaces Reviewed

    Tserendorj Batbold, Yoshihiro Sawano

    Mathematical Inequalities and Applications   20 ( 1 )   263 - 283   2017.1

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    DOI: 10.7153/mia-20-20

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  • Pasting Reproducing Kernel Hilbert Spaces Reviewed

    Yoshihiro Sawano

    Trends in Mathematics   401 - 407   2017

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    DOI: 10.1007/978-3-319-48812-7_51

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  • An observation of the subspaces of S′ Invited Reviewed

    Yoshihiro Sawano

    Operator Theory: Advances and Applications   260   185 - 192   2017

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    DOI: 10.1007/978-3-319-51911-1_11

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  • Boundedness of the generalized fractional integral operators on generalized morrey spaces over metric measure spaces Reviewed

    Yoshihiro Sawano, Tetsu Shimomura

    Zeitschrift fur Analysis und ihre Anwendung   36 ( 2 )   159 - 190   2017

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    DOI: 10.4171/ZAA/1584

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  • Generalized Hardy-Morrey spaces Reviewed

    A. Akbulut, V. S. Guliyev, T. Noi, Y. Sawano

    Zeitschrift fur Analysis und ihre Anwendung   36 ( 2 )   129 - 149   2017

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    DOI: 10.4171/ZAA/1582

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  • Generalized morrey spaces-Revisited Reviewed

    Ali Akbulut, Vagif Sabir Guliyev, Takahiro Noi, Yoshihiro Sawano

    Zeitschrift fur Analysis und ihre Anwendung   36 ( 1 )   17 - 35   2017

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    DOI: 10.4171/ZAA/1577

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  • Characterization of BMO via ball Banach function spaces Reviewed

    Izuki Mitsuo, Yoshihiro Sawano

    Vestnik Sankt-Peterburgskogo Universiteta. Matematika. Mekhanika. Astronomiya   4(62)   78 - 86   2017

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  • Sharpness of the brascamp-lieb inequality in lorentz spaces Reviewed

    Neal Bez, Sanghyuk Lee, Shohei Nakamura, Yoshihiro Sawano

    Electronic Research Announcements in Mathematical Sciences   24   53 - 63   2017

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    DOI: 10.3934/era.2017.24.006

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  • Hardy spaces for ball quasi-Banach function spaces Reviewed

    Yoshihiro Sawano, Kwok Pun Ho, Dachun Yang, Sibei Yang

    Dissertationes Mathematicae   525 ( 525 )   1 - 102   2017

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    DOI: 10.4064/dm750-9-2016

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  • Generalized reproducing kernels and generalized delta functions Invited Reviewed

    2017

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  • A Multidimensional Integral Inequality Related to Hilbert-Type Inequality Reviewed

    Vandanjav Adiyasuren, Tserendorj Batbold, Yoshihiro Sawano

    Mediterranean Journal of Mathematics   13 ( 6 )   3837 - 3848   2016.12

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    DOI: 10.1007/s00009-016-0717-5

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  • A note on the Kakeya maximal operator and radial weights on the plane

    Hiroki Saito, Yoshihiro Sawano

    Tohoku Mathematical Journal   68 ( 4 )   639 - 649   2016.12

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    DOI: 10.2748/tmj/1486177220

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  • Non-smooth Atomic Decompositions for Generalized Orlicz–Morrey Spaces of the Third Kind Reviewed

    Vagif S. Guliyev, Sabir G. Hasanov, Yoshihiro Sawano, Takahiro Noi

    Acta Applicandae Mathematicae   145 ( 1 )   133 - 174   2016.10

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    DOI: 10.1007/s10440-016-0052-7

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  • Boundedness of generalized fractional integral operators from the morrey space L<inf>1</inf>,φ(X; µ) to the campanato space L<inf>1</inf>,ψ(x; µ) over non-doubling measure spaces Reviewed

    Denny Ivanal Hakim, Yoshihiro Sawano, Tetsu Shimomura

    Azerbaijan Journal of Mathematics   6 ( 2 )   117 - 127   2016.7

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  • Interpolation of generalized Morrey spaces Reviewed

    Denny Ivanal Hakim, Yoshihiro Sawano

    Revista Matematica Complutense   29 ( 2 )   295 - 340   2016.3

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    DOI: 10.1007/s13163-016-0192-3

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  • Generalized Morrey spaces and trace operator Reviewed

    Shohei Nakamura, Takahiro Noi, Yoshihiro Sawano

    Science China Mathematics   59 ( 2 )   281 - 336   2016.2

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    DOI: 10.1007/s11425-015-5096-z

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  • Generalized fractional maximal operators and vector-valued inequalities on generalized Orlicz–Morrey spaces Reviewed

    Denny Ivanal Hakim, Eiichi Nakai, Yoshihiro Sawano

    Revista Matematica Complutense   29 ( 1 )   59 - 90   2016.1

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    DOI: 10.1007/s13163-015-0178-6

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  • Dissertationes Mathematicae Reviewed

    Ciqiang Zhuo, Yoshihiro Sawano, Dachun Yang

    Dissertationes Mathematicae   520   1 - 74   2016

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    DOI: 10.4064/dm744-9-2015

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  • Some norm Inequalities In Musielak-Orlicz spaces Reviewed

    Fumi Yuki Maeda, Yoshihiro Sawano, Tetsu Shimomura

    Annales Academiae Scientiarum Fennicae Mathematica   41 ( 2 )   721 - 744   2016

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    DOI: 10.5186/aasfm.2016.4148

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  • Weighted variable modulation spaces Reviewed

    Takahiro Noi, Yoshihiro Sawano

    Sci. Math. Jpn.   79 ( 1 )   21 - 32   2016

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  • Hardy spaces with variable exponents on RD-spaces and applications Reviewed

    Ciqiang Zhuo, Yoshihiro Sawano, Dachun Yang

    DISSERTATIONES MATHEMATICAE   520 ( 520 )   1 - 74   2016

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    DOI: 10.4064/dm744-9-2015

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  • A note on the complex interpolation of Morrey spaces Invited Reviewed

    Denny Ivanal Hakim, Yoshihiro Sawano

    Linear and Nonlinear Analysis   2 ( 2 )   199 - 213   2016

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  • On the compactness of commutators for rough marcinkiewicz integral operators Reviewed

    Suzhen Mao, Yoshihiro Sawano, Huoxiong Wu

    Taiwanese Journal of Mathematics   19 ( 6 )   1777 - 1793   2015.12

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    DOI: 10.11650/tjm.19.2015.5656

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  • A remark on two generalized Orlicz-Morrey spaces Reviewed

    Sadek Gala, Yoshihiro Sawano, Hitoshi Tanaka

    Journal of Approximation Theory   198   1 - 9   2015.10

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    DOI: 10.1016/j.jat.2015.04.001

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  • Non-smooth atomic decomposition for generalized Orlicz-Morrey spaces Reviewed

    Yoshihiro Sawano, Denny Ivanal Hakim, Hendra Gunawan

    Mathematische Nachrichten   288 ( 14-15 )   1741 - 1775   2015.10

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    DOI: 10.1002/mana.201400138

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  • A unified treatment of Hilbert-type inequalities involving the Hardy operator Reviewed

    Tserendorj Batbold, Yoshihiro Sawano

    Mathematical Inequalities and Applications   18 ( 3 )   827 - 843   2015.7

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    DOI: 10.7153/mia-18-60

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  • Littlewood–Paley theory for Morrey spaces and their preduals Reviewed

    Takashi Izumi, Yoshihiro Sawano, Hitoshi Tanaka

    Revista Matematica Complutense   28 ( 2 )   411 - 447   2015.5

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    DOI: 10.1007/s13163-014-0158-2

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  • WAVELET CHARACTERIZATION AND MODULAR INEQUALITIES FOR WEIGHTED LEBESGUE SPACES WITH VARIABLE EXPONENT Reviewed

    Mitsuo Izuki, Eiichi Nakai, Yoshihiro Sawano

    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA   40 ( 2 )   551 - 571   2015

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    DOI: 10.5186/aasfm.2015.4032

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  • The Fatou property of block spaces Reviewed

    Yoshihiro Sawano, Hitoshi Tanaka

    Journal of Mathematical Sciences (Japan)   22 ( 3 )   663 - 683   2015

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  • Boundedness of intrinsic square functions and their commutators on generalized weighted orlicz-morrey spaces Reviewed

    Vagif Guliyev, Mehriban Omarova, Yoshihiro Sawano

    Banach Journal of Mathematical Analysis   9 ( 2 )   44 - 62   2015

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    DOI: 10.15352/bjma/09-2-5

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  • Sobolev embeddings for Riesz potentials of functions in Musielak–Orlicz–Morrey spaces over non-doubling measure spaces Reviewed

    Yoshihiro Sawano, Tetsu Shimomura

    Integral Transforms and Special Functions   25 ( 12 )   976 - 991   2014.12

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    DOI: 10.1080/10652469.2014.955099

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  • Variable Lebesgue norm estimates for BMO functions. II Reviewed

    Mitsuo Izuki, Yoshihiro Sawano, Yohei Tsutsui

    Analysis Mathematica   40 ( 3 )   215 - 230   2014.9

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    DOI: 10.1007/s10476-014-0304-6

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  • Approximation in Banach space by linear positive operators Reviewed

    Arash Ghorbanalizadeh, Yoshihiro Sawano

    Positivity   18 ( 3 )   585 - 594   2014.9

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    DOI: 10.1007/s11117-013-0264-2

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  • Orlicz-Hardy spaces and their duals Reviewed

    Eiichi Nakai, Yoshihiro Sawano

    Science China Mathematics   57 ( 5 )   903 - 962   2014.5

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    DOI: 10.1007/s11425-014-4798-y

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  • Morrey-type spaces on gauss measure spaces and boundedness of singular integrals Reviewed

    Liguang Liu, Yoshihiro Sawano, Dachun Yang

    Journal of Geometric Analysis   24 ( 2 )   1007 - 1051   2014.4

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    DOI: 10.1007/s12220-012-9362-9

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  • Characterizations for the generalized fractional integral operators on morrey spaces Reviewed

    Eridani, Hendra Gunawan, Eiichi Nakai, Yoshihiro Sawano

    Mathematical Inequalities and Applications   17 ( 2 )   761 - 777   2014.4

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    DOI: 10.7153/mia-17-56

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  • Uniqueness criterion of weak solutions for the dissipative quasi-geostrophic equations in Orlicz-Morrey spaces Reviewed

    Sadek Gala, Maria Alessandra Ragusa, Yoshihiro Sawano, Hitoshi Tanaka

    Applicable Analysis   93 ( 2 )   356 - 368   2014.2

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    DOI: 10.1080/00036811.2013.772582

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  • A new Brézis-Gallouët-Wainger inequality from the viewpoint of the real interpolation functors Reviewed

    Yoshihiro Sawano

    Mathematische Nachrichten   287 ( 2-3 )   352 - 358   2014.2

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    DOI: 10.1002/mana.201100324

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  • Fatou property of predual Morrey spaces with non-doubling measures Reviewed

    Hitoshi Tanaka, Yoshihiro Sawano

    Int. J. Appl. Math.   27 ( 3 )   283 - 296   2014

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  • Fractional type Marcinkiewicz integral operators associated to surfaces Reviewed

    Yoshihiro Sawano, Kôzô Yabuta

    Journal of Inequalities and Applications   2014 ( 1 )   2014

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    DOI: 10.1186/1029-242X-2014-232

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  • Decompositions for local morrey spaces Reviewed

    Tserendorj Batbold, Yoshihiro Sawano

    Eurasian Mathematical Journal   5 ( 3 )   9 - 45   2014

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  • Atomic decomposition for Morrey spaces Reviewed

    Takeshi Iida, Yoshihiro Sawano, Hitoshi Tanaka

    Zeitschrift fur Analysis und ihre Anwendung   33 ( 2 )   149 - 170   2014

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    DOI: 10.4171/ZAA/1504

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  • Morrey spaces and related function spaces Invited

    Yoshihiro Sawano, Hendra Gunawan, Vagif Guliyev, Hitoshi Tanaka

    Journal of Function Spaces   2014   2014

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    DOI: 10.1155/2014/867192

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  • Function spaces with variable exponents--an introduction-- Reviewed

    M. Izuki, E. Nakai, Y. Sawano

    Sci. Math. Jpn.   77 ( 2 )   187 - 315   2014

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  • Sobolev embeddings for Riesz potentials of functions in non-doubling Morrey spaces of variable exponents Reviewed

    Yoshihiro Sawano, Tetsu Shimomura

    Collectanea Mathematica   64 ( 3 )   313 - 350   2013.9

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    DOI: 10.1007/s13348-013-0082-7

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  • Atomic Decompositions of Hardy Spaces with Variable Exponents and its Application to Bounded Linear Operators Reviewed

    Yoshihiro Sawano

    Integral Equations and Operator Theory   77 ( 1 )   123 - 148   2013.9

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    DOI: 10.1007/s00020-013-2073-1

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  • A criterion of sampling theorems on banach function spaces Reviewed

    Mitsuo Izuki, Yoshihiro Sawano

    Tokyo Journal of Mathematics   36 ( 1 )   269 - 287   2013.6

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    DOI: 10.3836/tjm/1374497524

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  • On the uniqueness of weak solutions of the 3D MHD equations in the Orlicz-Morrey space Reviewed

    Sadek Gala, Yoshihiro Sawano, Hitoshi Tanaka

    Applicable Analysis   92 ( 4 )   776 - 783   2013.4

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    DOI: 10.1080/00036811.2011.636357

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  • On the Gagliardo-Nirenberg type inequality in the critical Sobolev-Morrey space Reviewed

    Yoshihiro Sawano, Hidemitsu Wadade

    Journal of Fourier Analysis and Applications   19 ( 1 )   20 - 47   2013.2

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    DOI: 10.1007/s00041-012-9223-8

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  • Integral operators on B <inf>σ</inf> -Morrey-Campanato spaces Reviewed

    Yasuo Komori-Furuya, Katsuo Matsuoka, Eiichi Nakai, Yoshihiro Sawano

    Revista Matematica Complutense   26 ( 1 )   1 - 32   2013.1

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    DOI: 10.1007/s13163-011-0091-6

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  • Sobolev's inequality for Riesz potentials of functions in generalized Morrey spaces with variable exponent attaining the value 1 over non-doubling measure spaces Reviewed

    Yoshihiro Sawano, Tetsu Shimomura

    Journal of Inequalities and Applications   2013   1 - 19   2013.1

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    DOI: 10.1186/1029-242X-2013-12

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  • Sobolev's inequality for Riesz potentials of functions in generalized Morrey spaces with variable exponent attaining the value 1 over non-doubling measure spaces Reviewed

    Yoshihiro Sawano, Tetsu Shimomura

    Journal of Inequalities and Applications   2013   2013.1

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    DOI: 10.1186/1029-242X-2013-12

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  • Littlewood-Paley theory for variable exponent Lebesgue spaces and Gagliardo-Nirenberg inequality for Riesz potentials Reviewed

    Yoshihiro Mizuta, Eiichi Nakai, Yoshihiro Sawano, Tetsu Shimomura

    Journal of the Mathematical Society of Japan   65 ( 2 )   633 - 670   2013

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    DOI: 10.2969/jmsj/06520633

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  • Martingale Morrey-Hardy and campanato-hardy spaces

    Eiichi Nakai, Gaku Sadasue, Yoshihiro Sawano

    Journal of Function Spaces and Applications   2013   2013

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    DOI: 10.1155/2013/690258

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  • Characterization of the multipliers from Ḣr to Ḣ-r Reviewed

    Sadek Gala, Yoshihiro Sawano

    Bulletin of the Korean Mathematical Society   50 ( 3 )   915 - 928   2013

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    DOI: 10.4134/BKMS.2013.50.3.915

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  • A new framework for generalized Besov-type and Triebel?Lizorkin-type spaces Reviewed

    Yiyu Liang, Dachun Yang, Wen Yuan, Yoshihiro Sawano, Tino Ullrich

    Dissertationes Mathematicae   ( 489 )   5 - 114   2013

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    DOI: 10.4064/dm489-0-1

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  • A note on the boundedness of discrete commutators on Morrey spaces and their preduals Reviewed

    Y. Sawano

    Journal of Analysis and Applications   11 ( 1 )   1 - 26   2013

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  • Linear and sublinear operators on generalized Morrey spaces with non-doubling measures Reviewed

    Vagif Guliyev, Yoshihiro Sawano

    Publicationes Mathematicae   83 ( 3 )   303 - 327   2013

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    DOI: 10.5486/PMD.2013.5508

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  • Applications of Littlewood-Paley Theory for (B) over dot(sigma)-Morrey Spaces to the Boundedness of Integral Operators Reviewed

    Yasuo Komori-Furuya, Katsuo Matsuoka, Eiichi Nakai, Yoshihiro Sawano

    JOURNAL OF FUNCTION SPACES AND APPLICATIONS   2013

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    DOI: 10.1155/2013/859402

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  • Weak and strong type estimates for fractional integral operators on Morrey spaces over metric measure spaces Reviewed

    Idha Sihwaningrum, Yoshihiro Sawano

    Eurasian Math. J.   4 ( 1 )   76 - 81   2013

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  • Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces Reviewed

    Hendra Gunawan, Denny Ivanal Hakim, Yoshihiro Sawano, Idha Sihwaningrum

    JOURNAL OF FUNCTION SPACES AND APPLICATIONS   2013   1 - 12   2013

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    DOI: 10.1155/2013/809704

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  • Hardy spaces with variable exponent Reviewed

    Izuki Mitsuo, Nakai Eiichi, Sawano Yoshihiro

    RIMS Kokyuroku Bessatsu   B42   109 - 136   2013

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  • The Hardy-Littlewood maximal operator on Lebesgue spaces with variable exponent Reviewed

    Izuki Mitsuo, Nakai Eiichi, Sawano Yoshihiro

    RIMS Kokyuroku Bessatsu   B42   51 - 94   2013

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  • Sobolev embeddings for generalized riesz potentials of functions in morrey spaces L(1, φ) (G) over nondoubling measure spaces Reviewed

    Yoshihiro Sawano, Tetsu Shimomura

    Journal of Function Spaces and Applications   2013   2013

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    DOI: 10.1155/2013/984259

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  • Sobolev Embeddings for Generalized Riesz Potentials of Functions in Morrey Spaces over Nondoubling Measure Spaces Reviewed

    Yoshihiro Sawano, Tetsu Shimomura

    Journal of Function Spaces and Applications   2013   1 - 12   2013

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    DOI: 10.1155/2013/984259

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  • Applications of Littlewood-Paley theory for B ̇ σ-Morrey spaces to the boundedness of integral operators Reviewed

    Yasuo Komori-Furuya, Katsuo Matsuoka, Eiichi Nakai, Yoshihiro Sawano

    Journal of Function Spaces and Applications   2013   2013

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    DOI: 10.1155/2013/859402

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  • New Characterizations of Besov-Triebel-Lizorkin-Hausdorff Spaces Including Coorbits and Wavelets Reviewed

    Yiyu Liang, Yoshihiro Sawano, Tino Ullrich, Dachun Yang, Wen Yuan

    Journal of Fourier Analysis and Applications   18 ( 5 )   1067 - 1111   2012.10

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    DOI: 10.1007/s00041-012-9234-5

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  • Variable Lebesgue norm estimates for BMO functions Reviewed

    Mitsuo Izuki, Yoshihiro Sawano

    Czechoslovak Mathematical Journal   62 ( 3 )   717 - 727   2012.9

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    DOI: 10.1007/s10587-012-0042-5

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  • A new Beale-Kato-Majda criteria for the 3D magneto-micropolar fluid equations in the Orlicz-Morrey space Reviewed

    Sadek Gala, Yoshihiro Sawano, Hitoshi Tanaka

    Mathematical Methods in the Applied Sciences   35 ( 11 )   1321 - 1334   2012.7

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    DOI: 10.1002/mma.2535

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  • Multilinear fractional integrals on Morrey spaces Reviewed

    Takeshi Iida, Enji Sato, Yoshihiro Sawano, Hitoshi Tanaka

    Acta Mathematica Sinica, English Series   28 ( 7 )   1375 - 1384   2012.7

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    DOI: 10.1007/s10114-012-0617-y

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  • Sharp bounds for multilinear fractional integral operators on Morrey type spaces

    Takeshi Iida, Enji Sato, Yoshihiro Sawano, Hitoshi Tanaka

    Positivity   16 ( 2 )   339 - 358   2012.6

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    DOI: 10.1007/s11117-011-0129-5

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  • Hardy spaces with variable exponents and generalized Campanato spaces Reviewed

    Eiichi Nakai, Yoshihiro Sawano

    Journal of Functional Analysis   262 ( 9 )   3665 - 3748   2012.5

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    DOI: 10.1016/j.jfa.2012.01.004

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  • Orlicz-Morrey Spaces and Fractional Operators Reviewed

    Yoshihiro Sawano, Satoko Sugano, Hitoshi Tanaka

    Potential Analysis   36 ( 4 )   517 - 556   2012.5

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    DOI: 10.1007/s11118-011-9239-8

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  • Complex interpolation of Besov spaces and Triebel-Lizorkin spaces with variable exponents Reviewed

    Takahiro Noi, Yoshihiro Sawano

    Journal of Mathematical Analysis and Applications   387 ( 2 )   676 - 690   2012.3

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    DOI: 10.1016/j.jmaa.2011.09.023

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  • Gagliardo-Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces Reviewed

    Yoshihiro Mizuta, Eiichi Nakai, Yoshihiro Sawano, Tetsu Shimomura

    Archiv der Mathematik   98 ( 3 )   253 - 263   2012.3

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    DOI: 10.1007/s00013-012-0362-6

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  • General Inhomogeneous Discrete Linear Partial Differential Equations with Constant Coefficients on the Whole Spaces Reviewed

    L. P. Castro, S. Saitoh, Y. Sawano, A. M. Simões

    Complex Analysis and Operator Theory   6 ( 1 )   307 - 324   2012.2

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    DOI: 10.1007/s11785-010-0083-4

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  • Atomic decomposition for weighted Besov and Triebel-Lizorkin spaces Reviewed

    Mitsuo Izuki, Yoshihiro Sawano

    Mathematische Nachrichten   285 ( 1 )   103 - 126   2012.1

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    DOI: 10.1002/mana.200910201

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  • Fractional integral operators in generalized Morrey spaces defined on metric measure spaces Reviewed

    Eridani, Yoshihiro Sawano

    Proceeding of A. Razmadze Mathematical Institute   158   13 - 24   2012

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  • Lower bound for sharp constants of Brézis-Gallouët-Wainger type inequalities in higher-order critical sobolev spaces on bounded domains Reviewed

    Kei Morii, Y. Sawano

    Communications in Mathematical Analysis   12 ( 1 )   1 - 16   2012

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  • Discrete linear differential equations Reviewed

    Luis P. Castro, Saburou Saitoh, Anabela S. Silva, Yoshihiro Sawano

    Analysis (Germany)   32 ( 3 )   181 - 191   2012

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    DOI: 10.1524/anly.2012.1104

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  • Fundamental error estimate inequalities for the tikhonov regularization using reproducing kernels

    Luís P. Castro, Hiroshi Fujiwara, Saburou Saitoh, Yoshihiro Sawano, Akira Yamada, Masato Yamada

    International Series of Numerical Mathematics   161   87 - 101   2012

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    DOI: 10.1007/978-3-0348-0249-9_6

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  • Generalized stummel class and morrey spaces Reviewed

    Hendra Gunawan, Eiichi Nakai, Yoshihiro Sawano, Hitoshi Tanaka

    Publications de l'Institut Mathematique   92 ( 106 )   128 - 137   2012

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    DOI: 10.2298/PIM1206127G

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  • Application of reproducing kernel Hilbert spaces to a minimization problem with prescribed nodes Reviewed

    Hendra Gunawan, Yoshihiro Sawano

    East Asian Journal on Applied Mathematics   1 ( 4 )   372 - 378   2011.11

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    DOI: 10.4208/eajam.050511.310711a

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  • Pasting reproducing kernel Hilbert spaces Reviewed

    Yoshihiro Sawano

    Jaen Journal on Approximation   3 ( 1 )   135 - 141   2011.10

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  • Generalized fractional integral operators and fractional maximal operators in the framework of morrey spaces Reviewed

    Yoshihiro Sawano, Satoko Sugano, Hitoshi Tanaka

    Transactions of the American Mathematical Society   363 ( 12 )   6481 - 6503   2011.7

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    DOI: 10.1090/S0002-9947-2011-05294-3

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  • Weighted norm inequalities for multilinear fractional operators on Morrey spaces Reviewed

    Takeshi Iida, Enji Sato, Yoshihiro Sawano, Hitoshi Tanaka

    Studia Mathematica   205 ( 2 )   139 - 170   2011

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    DOI: 10.4064/sm205-2-2

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  • Molecular decomposition of the modulation spaces Reviewed

    Masaharu Kobayashi, Yoshihiro Sawano

    Osaka Journal of Mathematics   47 ( 4 )   1029 - 1053   2010.12

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  • Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces on domains Reviewed

    Yoshihiro Sawano

    Mathematische Nachrichten   283 ( 10 )   1456 - 1487   2010.10

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    DOI: 10.1002/mana.200710151

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  • Decompositions of Besov-Hausdorff and Triebel-Lizorkin-Hausdorff spaces and their applications Reviewed

    Wen Yuan, Yoshihiro Sawano, Dachun Yang

    Journal of Mathematical Analysis and Applications   369 ( 2 )   736 - 757   2010.9

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    DOI: 10.1016/j.jmaa.2010.04.021

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  • Maximal operator for Pseudodifferential operators with homogeneous symbols Reviewed

    Yoshihiro Sawano

    Michigan Mathematical Journal   59 ( 1 )   119 - 142   2010.4

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    DOI: 10.1307/mmj/1272376028

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  • Singular integral inequalities and natural regularizations Reviewed

    Yoshihiro Sawano, Masato Yamada, Saburou Saitoh

    Mathematical Inequalities and Applications   13 ( 2 )   289 - 303   2010.4

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    DOI: 10.7153/mia-13-23

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  • New applications of Besov-type and Triebel-Lizorkin-type spaces Reviewed

    Yoshihiro Sawano, Dachun Yang, Wen Yuan

    Journal of Mathematical Analysis and Applications   363 ( 1 )   73 - 85   2010.3

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    DOI: 10.1016/j.jmaa.2009.08.002

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  • The Haar wavelet characterization of weighted Herz spaces and greediness of the Haar wavelet basis Reviewed

    Mitsuo Izuki, Yoshihiro Sawano

    Journal of Mathematical Analysis and Applications   362 ( 1 )   140 - 155   2010.2

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    DOI: 10.1016/j.jmaa.2009.08.005

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  • Sharp constants of Brézis-Gallouët-Wainger type inequalities with a double logarithmic term on bounded domains in Besov and Triebel-Lizorkin spaces Reviewed

    Yoshihiro Sawano, Kei Morii, Tokushi Sato, Hidemitsu Wadade

    Boundary Value Problems   2010   2010

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    DOI: 10.1155/2010/584521

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  • Wavelet characterization of the pointwise multiplier space X<inf>r</inf> Reviewed

    Sadek Gala, Yoshihiro Sawano

    Functiones et Approximatio, Commentarii Mathematici   43 ( 2 )   109 - 116   2010

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    DOI: 10.7169/facm/1291903392

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  • Modulation spaces with A∞ weights Reviewed

    Yoshihiro Sawano

    Cubo   12 ( 3 )   187 - 202   2010

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  • Certain identitieson derivatives of radial homogeneous and logarithmic functions Reviewed

    Kei Morii, Tokushi Sato, Yoshihiro Sawano

    Communications in Mathematical Analysis   9 ( 2 )   51 - 66   2010

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  • Brézis-Gallouët-Wainger type inequality for Besov-Morrey spaces Reviewed

    Yoshihiro Sawano

    Studia Mathematica   196 ( 1 )   91 - 101   2010

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    DOI: 10.4064/sm196-1-6

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  • Greedy bases in weighted modulation spaces Invited Reviewed

    Mitsuo Izuki, Yoshihiro Sawano

    Nonlinear Analysis, Theory, Methods and Applications   71 ( 12 )   E2045 - E2053   2009.12

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    DOI: 10.1016/j.na.2009.03.036

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  • Wavelet bases in the weighted Besov and Triebel-Lizorkin spaces with A<inf>p</inf>loc-weights Reviewed

    Mitsuo Izuki, Yoshihiro Sawano

    Journal of Approximation Theory   161 ( 2 )   656 - 673   2009.12

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    DOI: 10.1016/j.jat.2008.12.003

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  • Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces for nondoubling measures Reviewed

    Yoshihiro Sawano, Hitoshi Tanaka

    Mathematische Nachrichten   282 ( 12 )   1788 - 1810   2009.12

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    DOI: 10.1002/mana.200610818

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  • Fractional integral operators in nonhomogeneous spaces Reviewed

    H. Gunawan, Y. Sawano, I. Sihwaningrum

    Bulletin of the Australian Mathematical Society   80 ( 2 )   324 - 334   2009.10

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    DOI: 10.1017/S0004972709000343

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  • A note on Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces Reviewed

    Yoshihiro Sawano

    Acta Mathematica Sinica, English Series   25 ( 8 )   1223 - 1242   2009.8

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    DOI: 10.1007/s10114-009-8247-8

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  • Truncation errors of the logarithmic potential operators Reviewed

    Yoshihiro Sawano

    Proceeding of A. Razmadze Mathematical Institute   150   115 - 119   2009

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  • A note on generalized fractional integral operators on generalized Morrey spaces Reviewed

    Yoshihiro Sawano, Satoko Sugano, Hitoshi Tanaka

    Boundary Value Problems   2009   2009

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    DOI: 10.1155/2009/835865

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  • Identification of the image of Morrey spaces by the fractional integral operators Reviewed

    Yoshihiro Sawano, Satoko Sugano, Hitoshi Tanaka

    Proceedings of A. Radmadze Mathematical Institute   149   87 - 93   2009

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  • Predual spaces of morrey spaces with non-doubling measures Reviewed

    Yoshihiro Sawano, Hitoshi Tanaka

    Tokyo Journal of Mathematics   32 ( 2 )   471 - 486   2009

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    DOI: 10.3836/tjm/1264170244

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  • Generalized Morrey spaces for non-doubling measures Reviewed

    Yoshihiro Sawano

    Nonlinear Differential Equations and Applications   15 ( 4-5 )   413 - 425   2008.12

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    DOI: 10.1007/s00030-008-6032-5

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  • Quarkonial decomposition suitable for functional-differential equations of delay type Reviewed

    Yoshihiro Sawano, Tsuyoshi Yoneda

    Mathematische Nachrichten   281 ( 12 )   1810 - 1822   2008.12

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    DOI: 10.1002/mana.200510716

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  • Generalized Morrey spaces for non-doubling measures

    Yoshihiro Sawano

    Nonlinear Differential Equations and Applications   15 ( 4-5 )   413 - 425   2008.12

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    DOI: 10.1007/s00030-008-6032-5

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  • Weighted modulation space M<inf>p, q</inf>s (w) with w ∈ A<inf>∞</inf>loc Reviewed

    Yoshihiro Sawano

    Journal of Mathematical Analysis and Applications   345 ( 2 )   615 - 627   2008.9

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    DOI: 10.1016/j.jmaa.2008.04.034

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  • Real inversion formulas of the Laplace transform on weighted function spaces Reviewed

    Yosihiro Sawano, Hiroshi Fujiwara, Saburou Saitoh

    Complex Analysis and Operator Theory   2 ( 3 )   511 - 521   2008.8

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    DOI: 10.1007/s11785-007-0041-y

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  • Morrey spaces with non-doubling measures II Reviewed

    Yoshihiro Sawano

    Journal of the Indonesian Mathematical Society   14 ( 2 )   121 - 152   2008

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  • Wavelet characterization of Besov/Triebel-Lizorkin-Morrey spaces. Reviewed

    澤野嘉宏

    Functiones et Approximatio   38   7 - 21   2008

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  • Real inversion of the Laplace transform in numerical singular value decompositions Reviewed

    Yoshihiro Sawano

    Journal of Analysis and Applications   6 ( 1 )   55 - 68   2008

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  • Compact commutators on morrey spaces with non-doubling measures Reviewed

    Yoshihiro Sawano, Satoru Shirai

    Georgian Mathematical Journal   15 ( 2 )   353 - 376   2008

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    DOI: 10.1515/GMJ.2008.353

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  • eal inversion of the Laplace transform by numerical singular value decomposition

    藤原宏志, 斎藤三郎, 松浦勉, 澤野嘉宏

    Journal of Analysis and Applications   6 ( 1 )   55--68   2008

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  • Wavelet characterization of Besov-Morrey and Triebel-Lizorkin-Morrey spaces Reviewed

    Yoshihiro Sawano

    Functiones et Approximatio, Commentarii Mathematici   38 ( 1 )   93 - 107   2008

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    DOI: 10.7169/facm/1229624654

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  • Decompositions of Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces Reviewed

    Yoshihiro Sawano, Hitoshi Tanaka

    Mathematische Zeitschrift   257 ( 4 )   871 - 905   2007.12

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  • Sharp maximal inequalities and commutators on morrey spaces with non-doubling measures Reviewed

    Yoshihiro Sawano, Hitoshi Tanaka

    Taiwanese Journal of Mathematics   11 ( 4 )   1091 - 1112   2007.9

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    DOI: 10.11650/twjm/1500404805

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  • Atomic decomposition for the modulation space $M_{p,q}^s$ with $0<p,q \le \infty$ and $s \in {\mathbf R}$

    澤野嘉宏

    Proceedings of A.~Razmadze Mathematical Institute   145   63--68   2007

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  • On the Young theorem for amalgams and Besov spaces Reviewed

    Int.~J.~Pure Appl.~Math

    澤野嘉宏,米田剛   36 ( 2 )   199 - 208   2007

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  • The John-Nirenberg type inequality for non-doubling measures Reviewed

    Yoshihiro Sawano, Hitoshi Tanaka

    Studia Mathematica   181 ( 2 )   153 - 170   2007

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    DOI: 10.4064/sm181-2-3

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  • Equivalent norms for the Morrey spaces with non-doubling measures Reviewed

    澤野嘉宏, 田中仁

    Far East J.~Math.~Sci.   22 ( 3 )   387--404 - 404   2006

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  • Limiting case of the boundedness of fractional integral operators on nonhomogeneous space Reviewed

    Yoshihiro Sawano, Takuya Sobukawa, Hitoshi Tanaka

    Journal of Inequalities and Applications   2006 ( 7 )   1 - 16   2006

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    DOI: 10.1155/JIA/2006/92470

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  • A Vector-Valued sharp maximal inequality on morrey spaces with non-doubling measures Reviewed

    Yoshihiro Sawano

    Georgian Mathematical Journal   13 ( 1 )   153 - 172   2006

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    DOI: 10.1515/GMJ.2006.153

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  • $l^q$-valued extension of the fractional maximal operators for non-doubling measures via potential operators Reviewed

    澤野嘉宏

    Int.~J.~Pure Appl.~Math.   26 ( 5 )   505--523   2006

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  • Morrey spaces for non-doubling measures Reviewed

    Yoshihiro Sawano, Hitoshi Tanaka

    Acta Mathematica Sinica, English Series   21 ( 6 )   1535 - 1544   2005.12

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    DOI: 10.1007/s10114-005-0660-z

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  • Sharp estimate of the modified Hardy-Littlewood maximal operator on the nonhomogeneous space via covering lemmas Reviewed

    澤野嘉宏

    Hokkaido Math. J.   34 ( 2 )   435--458   2005

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  • Sharp estimates of the modified hardy littlewood maximal operator on the nonhomogeneous space via covering lemmas Reviewed

    Yoshihiro Sawano

    Hokkaido Mathematical Journal   34 ( 2 )   435 - 458   2005

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    DOI: 10.14492/hokmj/1285766231

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Books

  • 関数空間を中心とした実解析・複素解析・函数解析の総合的研究 : RIMS共同研究(公開型)

    澤野, 嘉宏, 瀬戸, 道生, 京都大学数理解析研究所

    京都大学数理解析研究所  2024.5 

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    Total pages:ii, 184p  

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  • 再生核ヒルベルト空間を中心とした実解析・複素解析・函数解析の総合的研究 : RIMS共同研究(公開型)

    瀬戸, 道生, 澤野, 嘉宏, 京都大学数理解析研究所

    京都大学数理解析研究所  2023.6 

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    Total pages:ii, 131p  

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  • 「詳解」複素解析学

    出耒, 光夫, 澤野, 嘉宏, 野井, 貴弘

    日本評論社  2022.9  ( ISBN:9784535789708

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    Total pages:vi, 382p   Language:Japanese  

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  • 調和解析への招待 : 関数の性質を深く理解するために

    澤野, 嘉宏

    サイエンス社  2022.3  ( ISBN:9784781915388

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    Total pages:iv, 158p   Language:Japanese  

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  • Morrey spaces : introduction and applications to integral operators and PDE's

    澤野, 嘉宏, Di Fazio, Giuseppe, Hakim, Denny Ivanal

    C&H/CRC Press  2020  ( ISBN:9781498765510

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    Total pages:xxi, 479 p.   Language:English  

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  • Morrey spaces : introduction and applications to integral operators and PDE's

    澤野, 嘉宏, Di Fazio, Giuseppe, Hakim, Denny Ivanal

    CRC Press  2020  ( ISBN:9780367459154

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    Total pages:xviii, 409 p.   Language:English  

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  • Theory of Besov Spaces

    Yoshihiro Sawano( Role: Sole author)

    Springer  2018.11 

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  • Theory of Besov spaces

    澤野, 嘉宏( Role: Sole author)

    Springer  2018  ( ISBN:9789811308352

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    Total pages:xxiii, 945 p.   Language:English  

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  • 再生核の応用についての総合的な研究

    齋藤, 三郎, 澤野, 嘉宏, 京都大学数理解析研究所

    京都大学数理解析研究所  2016.1 

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    Total pages:ii, 239p  

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  • Theory of reproducing kernels and applications

    齋藤, 三郎, 澤野, 嘉宏

    Springer  2016  ( ISBN:9789811005299

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    Total pages:xviii, 452 p.   Language:English  

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  • 早わかりルベーグ積分 (数学のかんどころ 29)

    澤野 嘉宏( Role: Sole author)

    共立出版  2015.9  ( ISBN:4320110706

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    Total pages:203  

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  • 早わかりルベーグ積分

    澤野, 嘉宏

    共立出版  2015.9  ( ISBN:9784320110700

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    Total pages:viii, 203p   Language:Japanese  

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  • 早わかりベクトル解析 ―3つの定理が織りなす華麗な世界― (数学のかんどころ 25)

    澤野 嘉宏, 飯高 茂, 中村 滋, 岡部 恒治, 桑田 孝泰( Role: Sole author)

    共立出版  2014.5  ( ISBN:4320110668

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    Total pages:195  

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  • 早わかりベクトル解析 : 3つの定理が織りなす華麗な世界

    澤野, 嘉宏

    共立出版  2014.5  ( ISBN:9784320110663

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    Total pages:ix, 195p   Language:Japanese  

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  • ベゾフ空間論 = Theory of Besov spaces

    澤野, 嘉宏

    日本評論社  2011.1  ( ISBN:9784535786455

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    Total pages:xii, 426p   Language:Japanese  

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  • Morrey spaces for non-doubling measures = Doubling条件を満たしていない測度に対するMorrey空間

    澤野, 嘉宏

    東京大学数理科学研究科  2006 

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MISC

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Presentations

  • The John-Nirenberg type inequality for non-doubling measures

    澤野嘉宏, 田中仁

    Proceedings of the Harmonic Analysis and its Application at Sapporo 

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  • モレー空間について

    澤野嘉宏

    日本数学会  2025.3 

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    Language:Japanese   Presentation type:Oral presentation (invited, special)  

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  • Compact operators in Morrey spaces

    Yoshihiro Sawano

    2024.11 

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  • Factorization of Hardy spaces using the ball Banach spaces

    Yoshihiro Sawano

    2024.11 

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  • A new variational characterization of Sobolev spaces based on Banach lattices Invited

    Yoshihiro Sawano

    2024.11 

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  • Generalized Campanato spaces of higher order

    Yoshihiro Sawano

    GF2024  2024.9 

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    Event date: 2024.9    

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  • A norm close to the $L^1$-norm Invited

    Yoshihiro Sawano

    Nonlinear Analysis Seminar talk  2024.9 

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    Event date: 2024.9    

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  • A substitute for the L1-norm Invited

    Yoshihiro Sawano

    THE 50, 70, 80,… CONFERENCE IN MATHEMATICS in honor of Professor Lars-Erik Persson, on the occasion of his 80 years anniversary  2024.8 

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  • Herz空間についての考察

    澤野嘉宏

    実解析シンポジウム  2023.10 

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  • An observation on Herz spaces

    Yoshihiro Sawano

    Research on Real, Complex and Functional Analysis from the Perspective of Function Spaces  2023.10 

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  • Atomic decomposition of a subspace of BMO. Invited

    Yoshihiro Sawano

    The 10th East Asian Conference in Harmonic Analysis and Applications  2023.8 

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  • A weak type vector-valued inequality for the modified Hardy–Littlewood maximal operator for general Radon measure on R n

    Yoshihiro Sawano

    2022.10 

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  • On the functional inequality $f \ge f*f$. Invited

    Yoshihiro Sawano

    9th East Asian Conference in Harmonic Analysis andApplications  2022.8 

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  • A conjecture by Hastö on the mixed variable Lebesgue norm Invited

    Yoshihiro Sawano

    2021.10 

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    Event date: 2021.10    

    Language:Japanese  

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  • ボッホナー積分入門

    澤野嘉宏

    実解析学シンポジウム2021  2021.10 

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    Event date: 2021.10    

    Language:Japanese   Presentation type:Oral presentation (general)  

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  • Domination of Littlewood–Paley operators via sparse operators Invited

    Yoshihiro Sawano

    The 8th East Asian Conference in Harmonic Analysis and Applications  2021.8 

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  • Inclusions in Generalized Orlicz Spaces

    Yoshihiro Sawano, Seyyed Mohammad Tabatabaie

    Bulletin of the Iranian Mathematical Society  2021.8  SPRINGER SINGAPORE PTE LTD

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  • Disjoint dynamics of weighted translations on solid spaces

    Yoshihiro Sawano, Seyyed Mohammad Tabatabaie, Fatemeh Shahhoseini

    Topology and its Applications  2021.7  ELSEVIER

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  • Complex interpolation of the predual of Morrey spaces over measure spaces

    Victor I. Burenkov, Denny I. Hakim, Eiichi Nakai, Yoshihiro Sawano, Takuya Sobukawa, Tamara V. Tararykova

    Georgian Mathematical Journal  2021.6 

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  • Weighted Hankel Transform and Its Applications to Fourier Transform

    Masami Okada, Yoshihiro Sawano

    Journal of Fourier Analysis and Applications  2021.4 

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  • Complex Interpolation and the Adams Theorem

    Yoshihiro Sawano, Satoko Sugano

    Potential Analysis  2021.2  Springer Science and Business Media {LLC}

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  • Generalized fractional integral operators on Orlicz–Hardy spaces

    Ryutaro Arai, Eiichi Nakai, Yoshihiro Sawano

    Mathematische Nachrichten  2021.2  Wiley

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  • The spectra of the generalized difference operators on the spaces of convergent series

    Yoshihiro Sawano, Saad R. El-Shabrawy

    Linear and Multilinear Algebra  2021  Informa {UK} Limited

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  • Boundedness of composition operators on Morrey spaces and weak Morrey spaces

    Naoya Hatano, Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano

    Journal of Inequalities and Applications  2021 

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  • Local Muckenhoupt class for variable exponents

    Toru Nogayama, Yoshihiro Sawano

    Journal of Inequalities and Applications  2021 

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  • Some modular inequalities in lebesgue spaces with a variable exponent

    Mitsuo Izuki, Takahiro Noi, Yoshihiro Sawano

    Transactions of A. Razmadze Mathematical Institute  2020.12 

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  • Sparse non-smooth atomic decomposition of Morrey spaces

    Yoshihro Sawano

    Mathematical Methods in the Applied Sciences  2020.11  Wiley

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  • Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent

    Mitsuo Izuki, Toru Nogayama, Takahiro Noi, Yoshihiro Sawano

    Nonlinear Analysis, Theory, Methods and Applications  2020.9  Elsevier {BV}

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    Other Link: http://arxiv.org/pdf/1912.03400v1

  • Predual spaces of generalized grand Morrey spaces over non-doubling measure spaces

    Yoshihiro Sawano, Tetsu Shimomura

    Georgian Mathematical Journal  2020.9  WALTER DE GRUYTER GMBH

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  • Bilinear rough singular integral operators on Morrey spaces

    Daniel Salim, Yoshihiro Sawano, Pebrudal Zanu

    Journal of Analysis  2020.9 

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  • Fine spectra of the discrete generalized Cesàro operator on Banach sequence spaces

    Yoshihiro Sawano, Saad R. El-Shabrawy

    Monatshefte fur Mathematik  2020.5  SPRINGER WIEN

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    Event date: 2020.5    

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  • Complex interpolation of various subspaces of Morrey spaces

    Denny Ivanal Hakim, Yoshihiro Sawano

    Science China Mathematics  2020.5 

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  • Homogeneous Besov spaces

    Yoshihiro Sawano

    Kyoto Journal of Mathematics  2020.4  DUKE UNIV PRESS

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  • Generalized Riesz potentials of functions in Morrey spaces L (1,φ;κ)(G) over non-doubling measure spaces

    Yoshihiro Sawano, Masaki Shigematsu, Tetsu Shimomura

    Forum Mathematicum  2020.3  WALTER DE GRUYTER GMBH

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  • Gagliardo-Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces over quasi-metric measure spaces

    Daiki Hashimoto, Yoshihiro Sawano, Tetsu Shimomura

    Colloquium Mathematicum  2020 

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  • Weighted local morrey spaces

    Shohei Nakamura, Yoshihiro Sawano, Hitoshi Tanaka

    Annales Academiae Scientiarum Fennicae Mathematica  2020 

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  • Interpolation of Morrey spaces for general parameters Invited International conference

    Yoshihiro Sawano

    International Conference on Function Spaces  2018.7 

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  • Interpolation of Morrey spaces Invited International conference

    Yoshihiro Sawano

    2018 Beijing Conference on Harmonic Analysis and its Applications  2018.6 

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  • Interpolation of Morrey spaces Invited International conference

    Yoshihiro Sawano

    OTHA-2018 conference  2018.4 

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  • Morrey spaces--Introduction Invited

    Yoshihiro Sawano

    2017.11 

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  • Introduction of Morrey spaces Invited International conference

    Yoshihiro Sawano

    ISAAC国際会議  2017.8 

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  • An obsevation of the atomic decomposition of Hardy spaces with variable exponent Invited International conference

    Yoshihiro Sawano

    Harmonic Analysis and Applications at Tokyo 2017  2017.8 

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  • Interpolation of Morrey spaces Invited International conference

    Yoshihiro Sawano

    Banach spaces and operator theory with applications  2017.7 

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  • Interpolation of diamond Morrey spaces Invited

    Yoshihiro Sawano

    Harmonic Analysis and Applications at Beijing  2016.9 

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  • Interpolation of diamond Morrey spaces Invited International conference

    Yoshihiro Sawano

    4th East Asian Conference on Harmonic Analysis and Applications  2016.8 

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  • Morrey Spaces--complex interpolations and weighted theory Invited International conference

    Yoshihiro Sawano

    Harmonic Analysis and Applications at Matsumoto  2016.8 

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  • Morrey Spaces--complex interpolations and weighted theory Invited International conference

    Yoshihiro Sawano

    調和解析と非線形偏微分方程式  2016.7 

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  • Morrey空間の複素補間について Invited

    Yoshihiro Sawano

    京都大学数学教室談話会  2015.12 

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  • Interpolation of Morrey spaces Invited International conference

    Yoshihiro Sawano

    ザンジャン大学 数学セミナー  2015.9 

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  • A phase decomposition formula Invited International conference

    Yoshihiro Sawano

    ISSAC CONFERENCE 2015  2015.8 

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  • My Japanese book, Theory of Besov spaces, including a remark on the space ${\mathcal S}'/{\mathcal P}$ Invited

    Yoshihiro Sawano

    ニコルスキー生誕110周年研究集会  2015.5 

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  • Hardy spaces with variable exponents and generalized Campanato spaces Invited International conference

    Yoshihiro Sawano

    Recent Advances in Variable Exponent Spaces and Non-linear Problems  2015.5 

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  • Decompositions of Morrey spaces Invited International conference

    Yoshihiro Sawano

    厦門大学 解析セミナー  2014.9 

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  • Morrey spaces for non-doubling measures Invited International conference

    Yoshihiro Sawano

    厦門大学 解析セミナー  2014.9 

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  • Littlewood-Paley theory and Gagliardo-Nirenberg inequalities Invited International conference

    Yoshihiro Sawano

    AIMS国際会議  2014.7 

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  • Three remarks on Morrey spaces and related function spaces Invited International conference

    Yoshihiro Sawano

    2nd East Asian Conference in Harmonic analysis and Applications  2014.7 

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  • An introduction to function spaces Invited

    Yoshihiro Sawano

    福岡複素解析セミナー  2014.3 

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  • An introduction to function spaces Invited

    Yoshihiro Sawano

    城崎新人セミナー  2014.2 

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  • Orlicz-Hardy spaces and their duals Invited International conference

    Yoshihiro Sawano

    北京師範大学「関数空間とその応用の討論班」  2013.11 

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  • Morrey spaces for non-doubling measures Invited International conference

    Yoshihiro Sawano

    1st East Asian Conference in Harmonic analysis and Applications  2013.11 

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  • An observation on Hardy spaces Invited International conference

    Yoshihiro Sawano

    Harmonic Analysis and its Application at Tokyo 2012  2012.11 

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  • A new framework for generalized Besov-type and Triebel-Lizorkin-type spaces Invited International conference

    Yoshihiro Sawano

    The Erwin Schr\"{o}dinger International Institute for Mathematical Physics (Session ESI12)  2012.9 

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  • Hardy spaces with variable exponents Invited International conference

    Yoshihiro Sawano

    43回イラン数学会  2012.8 

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  • Multilinear fractional integrals on Morrey spaces

    Takeshi Iida, Enji Sato, Yoshihiro Sawano, Hitoshi Tanaka

    Acta Mathematica Sinica, English Series  2012.7 

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    In the present paper we obtain and extend the boundedness property of the Adams type for multilinear fractional integral operators. Also, we deal with the Olsen type inequality. © 2012 Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg.

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  • Hardy spaces with variable exponents and generalized Campanato spaces Invited International conference

    Yoshihiro Sawano

    SEAM28  2012.3 

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  • Hardy spaces with variable exponents and generalized Campanato spaces Invited International conference

    Yoshihiro Sawano

    浙江大学数学セミナー  2012.2 

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  • Olsen's inequalities and their applications Invited International conference

    Yoshihiro Sawano

    浙江教育大学数学セミナー  2012.2 

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  • Morrey spaces with non-doubling measures II Invited International conference

    Yoshihiro Sawano

    Harmonic Analysis and its Application at Nara  2011.11 

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  • Sharp estimates of the modified Hardy-Littlewood maximal operator on the nonhomogeneous space via covering lemmas

    Yoshihiro Sawano

    バンドン工科大学解析セミナー  2011.11 

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  • Real Inversion Formulas of the Laplace Transform on Weighted Function Spaces Invited

    Yoshihiro Sawano

    ラプラス変換の逆問題への応用  2011.11 

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  • Hardy spaces with variable exponents and generalized Campanato spaces Invited International conference

    Yoshihiro Sawano

    FSDONA2011  2011.9 

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  • Morrey spaces for non-doubling measures International conference

    Yoshihiro Sawano

    ISSAC CONFERENCE 2011  2011.8 

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  • Morrey spaces for non-doubling measures Invited International conference

    Yoshihiro Sawano

    Operators in Morrey Type Spaces and Applications  2011.5 

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  • New phase decomposition formula and its applications Invited

    Yoshihiro Sawano

    国立中央大学解析セミナー  2010.11 

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  • Singular integral inequalities and natural regularizations Invited

    Yoshihiro Sawano

    Taiwan-Japan Joint Workshop on Inverse Problems  2010.11 

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  • Olsen's inequality and its applications to Schr\"{o}dinger equations Invited

    Yoshihiro Sawano

    京都大学研究集会「調和解析と偏微分方程式」  2010.7 

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  • Morrey spaces for non-doubling measures Invited

    Yoshihiro Sawano

    Mathematics colloquim at Macqarie  2010.1 

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  • Br\'ezis-Gallou\"et-Wainger type inequalities in various function spaces Invited International conference

    Yoshihiro Sawano

    Mini-conference on harmonic analysis  2009.12 

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  • Br\'ezis-Gallou\"et-Wainger type inequalities in various function spaces Invited International conference

    Yoshihiro Sawano

    関数空間とその応用の討論班  2009.11 

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  • A note on the Olsen inequality Invited International conference

    Yoshihiro Sawano

    関数空間とその応用の討論班  2009.11 

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  • ecompositions of Besov-Hausdorff and Triebel-Lizorkin-Hausdorff Spaces Invited International conference

    Yoshihiro Sawano

    Harmonic Analysis and its Applications at Pohang  2009.11 

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  • A note on Morrey spaces Invited International conference

    Yoshihiro Sawano

    インドネシアMalang大学 解析セミナー  2009.8 

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  • Maximal operator for pseudo-differential operators with homogeneous symbols Invited

    Yoshihiro Sawano

    京都大学談話会  2009.6 

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  • New phase decomposition formula and its applications Invited International conference

    Yoshihiro Sawano

    Harmonic analysis and partial differential equations with applications  2009.5 

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  • 分数冪積分作用素の有界性について Invited

    Yoshihiro Sawano

    齋藤三郎教授の最終講義  2009.1 

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  • A note on Olsen's inequality Invited International conference

    Yoshihiro Sawano

    Analysis seminar, Geogia Institute of Technology  2008.12 

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  • Maximal operator for pseudo-differential operators with homogeneous symbols Invited International conference

    Yoshihiro Sawano

    Mini-conference on harmonic analysis  2008.11 

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  • Maximal operator for pseudo-differential operators with homogeneous symbols Invited International conference

    Yoshihiro Sawano

    Harmonic analysis and applications at Tokyo 2008  2008.10 

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  • ラプラス変換の実逆変換への再生核空間の応用 Invited

    Yoshihiro Sawano

    再生核の応用についての研究  2008.9 

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  • Various boundedness of fractional integral operators Invited

    Yoshihiro Sawano

    実函数論・函数解析学合同シンポジウム  2008.8 

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  • Modulation spaces with $A_{\rm loc}^\infty$ weights, Second conference on pseudo-differential operators and related topics Invited International conference

    Yoshihiro Sawano

    World Congress of Non-linear Analysis  2008.7 

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  • Atomic decomposition for the weighted Morrey spaces Invited International conference

    Yoshihiro Sawano

    調和解析と偏微分方程式  2007.7 

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  • Morrey spaces for non-doubling measures Invited International conference

    Yoshihiro Sawano

    SEAMS研究集会  2007.7 

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  • Decompositions of the Besov-Morrey spaces and the Triebel-Lizorkin-Morrey spaces International conference

    Yoshihiro Sawano

    Jena大学解析学セミナー  2007.6 

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  • Sharp estimate of the modified maximal operator International conference

    Yoshihiro Sawano

    Spring School on Analysisでのshort communication  2007.5 

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  • Functional differential equations of a type similar to $f(x)=2f(2x+1)-2f(2x-1)$ and its application to Poisson's equation

    澤野嘉宏, 米田剛

    数理解析研究所考究録  2007 

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  • Morrey spaces for non-doubling measures Invited International conference

    Yoshihiro Sawano

    21st MINI-CONFERENCE IN HARMONIC ANALYSIS  2006.11 

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  • Sharp maximal inequalities and commutators on Morrey spaces with non-doubling measures Invited International conference

    Yoshihiro Sawano

    Third International Conference of Applied Mathematics  2006.8 

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  • Morrey spaces for non-doubling measures Invited International conference

    Yoshihiro Sawano

    ICM informal seminar  2006.8 

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  • Functional differential equations of a type similar to $f'(x)=2f(2x+1)-2f(2x-1)$ and its application to Poisson's equation Invited

    Yoshihiro Sawano

    関数方程式の解のダイナミクスと数値シミュレーション  2006.7 

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  • Non-doubling measureとMorrey空間に関して Invited

    Yoshihiro Sawano

    日本数学会  2006.3 

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  • doubling条件を満たさない測度空間上のMorrey空間に関して

    澤野嘉宏, 田中仁

    数理解析研究所考究録  2006 

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  • ある関数とクオーク分解に関して

    澤野嘉宏, 米田剛

    数理解析研究所考究録  2006 

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  • doubling条件を満たさない測度上のMorrey空間に関して Invited International conference

    Yoshihiro Sawano

    調和解析と非線形偏微分方程式  2005.7 

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  • Morrey spaces for non-doubling measures Invited International conference

    Yoshihiro Sawano

    Seminari Analisi  2005.6 

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Awards

  • 建部賞(奨励賞)

    日本数学会  

    澤野嘉宏

Research Projects

  • 平均振動量・増大度が一様でない関数空間の理論と応用

    Grant number:21K03304  2021.4 - 2026.3

    日本学術振興会  科学研究費助成事業  基盤研究(C)  茨城大学

    中井 英一, 松岡 勝男, 堀内 利郎, 貞末 岳, 米田 剛, 澤野 嘉宏

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    Grant amount: \4160000 ( Direct Cost: \3200000 、 Indirect Cost: \960000 )

    今年度は、研究分担者や研究協力者との研究打合せ等は、すべて遠隔で行った。13th ISAAC Congress (ベルギー、遠隔開催)に招待され、Orlicz-Morrey 空間に関する講演を行った。また、ロシアで開催された国際研究集会「Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis X」に招待され、遠隔で参加して、Orlicz-Morrey 空間および弱 Orlicz-Morrey 空間に関する講演を行った。これらにより、海外の研究者とも研究情報の交換を行った。以下、今年度に得られた研究成果を列挙する。
    古典的な関数空間において確立されている H^1-BMO 双対性および VMO(CMO)-H^1 双対性の理論について、平均振動量が一様でない関数空間に拡張する試みが、すでに研究代表者らにより行われていたが、研究協力者によって完成した。さらに、これらの関数空間において、Riesz 変換や一般化分数べき積分作用素の有界性に関する結果を得て、理論を深めることができた。
    また、一般化 Young 関数を用いて Musielak-Orlicz-Hardy 空間を定義し、アトム分解およびウェーブレット分解による特徴づけを行った。
    重み付き Orlicz-Morrey 空間および弱 Orlicz-Morrey 空間上において、Hardy-Littlewood maximal 作用素や Calderon-Zygmund 作用素の有界性についての理論を構築した。
    Morrey 空間と弱 Morrey 空間上の掛算作用素(pointwise multiplier)について、これまで未知だった部分も含めて結果を得て、完全な特徴づけを完成させた。

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  • 特異積分と関数空間の研究(多重線形作用素の理論の深化)

    Grant number:22K03393  2022.4 - 2025.3

    日本学術振興会  科学研究費助成事業  基盤研究(C)  東海大学

    古谷 康雄, 澤野 嘉宏, 松山 登喜夫

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    Grant amount: \1950000 ( Direct Cost: \1500000 、 Indirect Cost: \450000 )

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  • 調和解析における実関数論の方法とその応用

    Grant number:20H01815  2020.4 - 2025.3

    日本学術振興会  科学研究費助成事業 基盤研究(B)  基盤研究(B)  東京女子大学

    宮地 晶彦, 古谷 康雄, 田中 仁, 冨田 直人, 筒井 容平, 澤野 嘉宏, 小林 政晴, 中井 英一

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    Grant amount: \16120000 ( Direct Cost: \12400000 、 Indirect Cost: \3720000 )

    多重線形の擬微分作用素でシンボルの導関数が決まった関数で抑えられるクラスの作用素に対して、新しいシンボルのクラスを導入し、これまで知られていたLebesgue空間での有界性を含む精密な結果を示した。この研究においては、アマルガム空間と呼ばれる関数空間とBrascamp-Lieb型不等式を利用することが重要な鍵となった。また3重線形Hilbert変換について、双線形の場合を単純に一般化した有界性は成り立たないことを示した。
    双線形の分数階積分作用素に対する重み付き評価について新しい不等式を得た。その不等式には2進立方体の直積に対するFefferman-Phong型不等式やCarleson型埋め込み不等式が密接に関係していることを示した。この研究にはスパース作用素が有効に利用された。関数のメディアンと最大関数に対する一般論を整備した。
    Morrey空間に関して、変動指数型Morrey空間の相対コンパクト集合の特徴付け、複素補間空間の性質、各点乗子となる関数の特徴付けについて、標準的な設定の下でこれまでに知られていた結果を、一般的な設定の下へ拡張した。また、分数階積分作用素や特異積分作用素のMorrey空間における評価も一般化した。
    非圧縮粘Navier-Stokes方程式をBesov空間で考察し、定常解の存在と安定性を示した。同じく非圧縮粘Navier-Stokes方程式を臨界のルベーグ空間においても考察し、弱解が強解になるための条件を得た。消散型偏微分方程式に対して、短時間Fourier変換を用いた解の表示を示し、それを用いてStrichartz型評価などを示した。

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  • 一般調和解析に由来する増大条件を伴う関数空間の深化と展開

    Grant number:20K03663  2020.4 - 2025.3

    日本学術振興会  科学研究費助成事業 基盤研究(C)  基盤研究(C)  日本大学

    松岡 勝男, 水田 義弘, 中井 英一, 澤野 嘉宏

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    Grant amount: \4420000 ( Direct Cost: \3400000 、 Indirect Cost: \1020000 )

    増大条件を伴う関数空間のOrlicz versionと作用素の有界性について,増大条件を伴う非斉次central Morrey空間とそのOrlicz versionの適切な定義を導入するために、先ず増大条件を伴わない関数空間のOrlicz versionと作用素の有界性の共同研究「非斉次central Morrey-Orlicz空間上でのRieszポテンシャルの有界性」を海外協力者Lech Maligranda (Lulea University of Technology, Sweden; Poznan University of Technology, Poland) と始め、その結果が研究協力者Evgeniya Burtseva (Lulea University of Technology, Sweden) を加えた共著論文「Boundedness of the Riesz potential in central Morrey-Orlicz spaces」として雑誌 Positivity に最初 Online で掲載 (オープンアクセス) された。
    また、増大条件を伴う B_σ-関数空間と作用素の有界性について、増大条件を伴う B_σ-関数空間の適切な定義を導入するために、先ず増大条件を伴わない非斉次central Morrey空間とMorrey空間上でのd -modified Rieszポテンシャルの有界性の結果を統一する研究「d -modified Rieszポテンシャルの非斉次 B_σ-Morrey 空間上での有界性」を始め、その結果が論文「d -modified fractional integrals on B_σ-Morrey spaces」として雑誌 Rendiconti del Circolo Matematico di Palermo Series 2 に最初 Online で掲載された。
    上記に続く研究分担者中井英一との共同研究、研究分担者澤野嘉宏との共同研究については、大学における新型コロナウイルス感染拡大防止の措置により、すべてが昨年よりもわずかに進展している程度の状態であり、実績はまだまだ上がっていない状況である。
    そのような状況のなかで、研究分担者水田義弘により、Sobolev関数の増大性についての、研究分担者中井英一と澤野嘉宏により、Musielak-Orlicz Hardy 空間の特徴付けについての結果が得られている。

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  • A refinement and development of mathematical analysis by means of function spaces

    Grant number:19K03546  2019.4 - 2022.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (C) 

    Sawano Yoshihiro

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    Grant amount: \4420000 ( Direct Cost: \3400000 、 Indirect Cost: \1020000 )

    I investigated the interpolation. Roughly speaking, there are two types of interpolations, complex/real. Among others, I investigated the complex interpolation. My experience shows that Morrey spaces are useful when we consider counterexamples of some facts. I obtained an interpolation formula that does not fall within the scope of the known results by means of variable exponents. This result is already published. Another important fact is that complex interpolation is useful to obtain a non-trivial result.

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  • A study of multilinear operators

    Grant number:19K03571  2019.4 - 2022.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)  Grant-in-Aid for Scientific Research (C)  Tokai University

    Furuya Yasuo

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    Grant amount: \2340000 ( Direct Cost: \1800000 、 Indirect Cost: \540000 )

    We study multilinear singular integral operators; the bilinear and trilinear Hilbert transform and fractional integral operators. We obtain weighted Stein-Weiss inequalities for multilinear fractional integrals.

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  • Wienerの一般調和解析に端を発する関数空間の深化と展開

    Grant number:17K05306  2017.4 - 2021.3

    日本学術振興会  科学研究費助成事業 基盤研究(C)  基盤研究(C)  日本大学

    松岡 勝男, 水田 義弘, 中井 英一, 澤野 嘉宏

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    Grant amount: \4550000 ( Direct Cost: \3500000 、 Indirect Cost: \1050000 )

    関数空間のOrlicz versionと作用素の有界性について、海外協力者のLech Maligranda (Lulea University of Technology, Sweden)と、共同研究「非斉次central Morrey-Orlicz空間上でのRieszポテンシャルの有界性」を昨年度から始め、異なる非斉次central Morrey-Orlicz空間上におけるHardy-Littlewood-Sobolev型の有界性のある程度の結果を得ていた。これに対して、研究協力者の古谷康雄 (東海大学) 等の論文「Fractional integral operators on central Morrey spaces, Math. Inequal. Appl., 20 (2017)」により、Hardy-Littlewood-Sobolev型のAdams型有界性はcentral Morrey空間上では成り立たないことが判明していたことから、急遽、Spann型有界性が成り立つための条件の妥当性の吟味が必要となり、その検討を始めることになった。
    一般化 Rieszポテンシャルとその有界性について、以前に得た非斉次central Morrey空間上での有界性を、非斉次central Campanato空間上の有界性に拡張することができた。そして、proceedings of IWOTA 2019に論文標題「d-modified Riesz potentials on central Campanato spaces」として掲載が決定された。また、研究分担者水田義弘との共同研究「変動指数central Morrey type 空間と一般化Rieszポテンシャルの弱有界性」の共著論文が、新たな研究協力者を得て完成し、雑誌Kyoto J. of Math. に掲載が決まった。

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  • Harmonic Analysis by the methods of real analysis

    Grant number:16H03943  2016.4 - 2020.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)  Grant-in-Aid for Scientific Research (B)  Tokyo Woman's Christian University

    Miyachi Akihiko

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    Grant amount: \11180000 ( Direct Cost: \8600000 、 Indirect Cost: \2580000 )

    For multilinear pseudo-differential operators of ordinal symbol class, we identified sharp differentiability conditions that assure boundedness of the operators in Lebesgue and Hardy spaces. For multilinear pseudo-differential operators of exotic class, we introduced new class of symbols related to general weight functions and obtained sharp estimates for the multilinear pseudo-differential operators in amalgam spaces. For multilinear fractional integral operators, we obtained new inequalities that involve the class of summable functions and found sharp conditions for weight functions of power form. We found a new method to estimate strong maximal functions. We investigated properties of several function spaces including Morrey spaces and their variants, and applied them to study the solutions to partial differential equations.

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  • Deepening of theory of function spaces from real and harmonic analysis and its application

    Grant number:15H03621  2015.4 - 2020.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)  Ibaraki University

    Nakai Eiichi

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    Grant amount: \16900000 ( Direct Cost: \13000000 、 Indirect Cost: \3900000 )

    Real and harmonic analysis used to be studied based on function spaces in which functions have the uniform property with respect to integrability and continuity. Since 2000, function spaces with variable exponents have attracted a lot of attention in connection with electrorheological fluids. Moreover, function spaces with variable growth conditions have also been introduced and studied, and it has become clear that those are in close connection.
    However, there are still also a lot of developing parts. Then we investigate properties of various function spaces and prove the boundedness and compactness of several operators to deepen the theory of the new function spaces.

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  • Conjectures associated with Brascamp-Lieb type inequalities

    Grant number:16H05995  2016.4 - 2019.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (A)  Grant-in-Aid for Young Scientists (A)  Saitama University

    BEZ Neal, BENNETT Jonathan, COWLING Michael, CUNANAN Jayson, FLOCK Taryn, GUTIERREZ Susana, ILIOPOULOU Marina, JEAVONS Chris, LEE Sanghyuk, NAKAMURA Shohei, OZAWA Tohru, SAWANO Yoshihiro, SUGIMOTO Mitsuru

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    Grant amount: \13130000 ( Direct Cost: \10100000 、 Indirect Cost: \3030000 )

    A key outcome of this research project was the successful complete verification of the nonlinear Brascamp-Lieb (BL) conjecture. This was one of the main goals of the initial research proposal and has been achieved through a series of papers. The first step was to establish local boundedness of the BL constant in the standard version of the BL inequality and use this to prove the nonlinear BL conjecture for input functions with arbitrarily small Sobolev regularity. As a further application of this stability result, we advanced the theory of the multilinear Fourier restriction problem. Next, we showed continuity of the BL constant and this result was used in our recent complete resolution of the nonlinear BL conjecture. Additionally, this research project has produced various new developments on related theory, including estimates for the kinetic transport equation.

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  • A new development of Fourier analysis-Theory of decompositions and its applications

    Grant number:16K05209  2016.4 - 2019.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)  Grant-in-Aid for Scientific Research (C)  Tokyo Metropolitan University

    Sawano Yoshihiro, Nakamura Shohei

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount: \4420000 ( Direct Cost: \3400000 、 Indirect Cost: \1020000 )

    Although we can interpolate Morrey spaces under some special condition, we can now manage to interpolate it with the help of the Calderon product. We also published a book titled "Theory of Morrey spaces", which includes interpolation of Morrey spaces.

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  • A study of singular integral operators

    Grant number:15K04938  2015.4 - 2018.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)  Grant-in-Aid for Scientific Research (C)  Tokai University

    Furuya Yasuo

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    Grant amount: \3510000 ( Direct Cost: \2700000 、 Indirect Cost: \810000 )

    We consider the boundedness of singular integral operators. In particular we study multilinear fractional operators and obtain the strong type estimates on product of Lebesgue spaces at critical indices. We also improve bilinear Stein-Weiss inequality.

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  • Computational harmonic analysis - approximation of function

    Grant number:24540184  2012.4 - 2016.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)  Grant-in-Aid for Scientific Research (C)  Tokyo Metropolitan University

    OKADA MASAMI, MORITOU SHINYA, UENO TOSHIHIDE, SAWANO YOSHIHIRO

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    Grant amount: \5070000 ( Direct Cost: \3900000 、 Indirect Cost: \1170000 )

    We investigated the general sampling theorem for scattered data in multi dimensional Euclidean spaces, which means the reconstruction of unknown functions from their data observed on irregularly scattered infinite points. In particular, we established the mathematical theory of the method of using suitable positive definite functions. In fact we have succeeded in proving an optimal
    approximate error estimate previously known for the regular sampling case and the applicability of the method. One of the key points is a breakthrough on the multi dimensional polynomial approximation.

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  • Concentration Phenomena and Structure of Solution for Nonlinear Evolution Equations

    Grant number:23224003  2011.4 - 2016.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (S)  Grant-in-Aid for Scientific Research (S)  Kyoto University

    Tsutsumi Yoshio, Okamoto Hisashi, Nakanishi Kenji, Sawano Yoshihiro, Kishimoto Nobu, Takaoka Hideo, Mizoguchi Noriko, Maeda Masaya, Kato Takamori, Miyaji Tomoyuki, Sasaki Youhei

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    Grant amount: \75010000 ( Direct Cost: \57700000 、 Indirect Cost: \17310000 )

    For nonlinear wave and dispersive equations, in collaboration with Schlag, Nakanishi succeeded in classifying the global behavior of any solutions starting near an unstable ground state. This is a breakthrough, because there were no results available beofre their papers. Tsutsumi, together with Yoshikawa, proved the existence of two invariant measures for the isothermal Falk model. One is the Gibbs measure and another is an invariant measure proposed by Kuksin. In collaboration with Shoji, Okamoto investigated the Stokes drift of surface gravity waves with surface tension. Okamoto and Shoji proved that the orbits of particles are not closed curves by the method of the complex analysis.

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  • Harmonic analysis based on function spaces with variable exponent and its applications

    Grant number:24540159  2012.4 - 2015.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)  Grant-in-Aid for Scientific Research (C)  Ibaraki University

    NAKAI Eiichi, HORIUCHI Toshio, SOBUKAWA Takuya, SADASUE Gaku, SAWANO Yoshihiro, MIZUTA Yoshihiro

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    Grant amount: \5070000 ( Direct Cost: \3900000 、 Indirect Cost: \1170000 )

    We established the theory of Hardy spaces with variable exponent and Orlicz-Hardy spaces, characterizing by Poisson integral, atomic decomposition, Littlewood-Paley decomposition, etc, proving the boundedness of singular and fractional integral operators, and studying related function spaces and their duals. Moreover, we developed the theory of generalized Morrey-Campanato spaces, B_sigma-Morrey-Campanato spaces, and their unified spaces as function spaces with variable oscillation and variable growth conditions. Using these function spaces, we analyzed the properties of solutions of some partial differential equations. Furthermore, we constructed the harmonic analysis theory for martingales.

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  • A study of singular integrals and function spaces

    Grant number:24540194  2012.4 - 2015.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)  Grant-in-Aid for Scientific Research (C)  Tokai University

    FURUYA Yasuo, SAWANO Yoshihiro, MATSYAMA Tokio

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    Grant amount: \3510000 ( Direct Cost: \2700000 、 Indirect Cost: \810000 )

    We prove the boundedness of multilinear fractional integral operators on product of Herz spaces. We also consider supercritical cases. We introduce new function spaces called B_sigma spaces which unify Morrey spaces and Herz spaces, and prove the boundedness of the Hardy-Littlewood maximaloperator,singular integral operators and fractional integral operators on this space. We obtain the boounded of fractional integral operators on weighted Morrey space. Our result generalizes both Muckenhoupt-Wheeden inequality and Adams inequality.

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  • Applications of harmonic analysis to mathematics in general

    Grant number:24740085  2012.4 - 2015.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B)  Grant-in-Aid for Young Scientists (B)  Tokyo Metropolitan University

    SAWANO Yoshihiro

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount: \4420000 ( Direct Cost: \3400000 、 Indirect Cost: \1020000 )

    We summarize what we obtained in the present research. 1. I proposed many types
    of atomic decompositions in many function spaces. 2. I proved a fundamenatal theorem which was folklore. The proof can not be found elsewhere in the literature. 3. I investigated Morrey spaces and related function spaces. 4. I tried to express the Dirac delta in terms of the reproducing kernel Hilbert spaces.

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  • Harmonic analysis by real variable methods and its applications

    Grant number:23340034  2011.4 - 2015.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)  Grant-in-Aid for Scientific Research (B)  Tokyo Woman's Christian University

    MIYACHI Akihiko, OKADA Masami, FURUYA Yasuo, KIKUCHI Masato, TANAKA Hitoshi, TOMITA Naohito, SAWANO Yoshihiro, NAKAI Eiichi, TSUTSUI Yohei, SATO Shuichi, KOBAYASHI Masaharu, TACHIZAWA Kazuya

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    Grant amount: \18070000 ( Direct Cost: \13900000 、 Indirect Cost: \4170000 )

    Using product type Sobolev norm, we determined the critical differentiability orders in the Hormander-Mihlin type conditions for bilinear Fourier multiplier operators. We generalized the Calderon-Vaillancourt theorem for linear pseudo-differential operators to the case of bilinear pseudo-differential operators. We obtained several new estimates for various operators of harmonic analysis in various function spaces.

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  • 非線形波動・分散型方程式の幾何学的対称性と弱解の構造

    Grant number:23244012  2011    

    日本学術振興会  科学研究費助成事業 基盤研究(A)  基盤研究(A)  京都大学

    堤 誉志雄, 重川 一郎, 國府 寛司, 中西 賢次, 大鍛治 隆史, 澤野 嘉宏

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    Grant amount: \12350000 ( Direct Cost: \9500000 、 Indirect Cost: \2850000 )

    研究分担者の中西はシカゴ大学のSchlag氏とともに,非線形波動方程式および非線形シュレディンガー方程式に対し,基底状態の近傍にある解の大域的挙動を研究した.同氏が1999年に開発したMorawetz型の評価式とKenig-Merleによって提唱された最小爆発解論法をあわせることにより,基底状態よりエネルギー準位が高い解に対しても,大域的漸近挙動を決定することに成功した.基底状態の近傍とはいえ,基底状態よりエネルギーが高い一般解の大域的漸近挙動を決定した研究はこれが初めてである.
    また,研究代表者の堤は,数理解析研究所の宮路智行氏および広島大学の大西勇氏と共同で,Lugiato-Lefever方程式の定常解の漸近安定性を研究した.Lugiato-Lefever方程式は,定数外力と減衰項を持つ非線形シュレディンガー方程式であり,ハミルトン系としての構造を持たないため,従来の研究方法は必ずしも有効ではなかった.非線形放物型方程式の場合,解析半群の正則性と生成作用素の分数べきの理論を適用することにより,定常解の漸近安定性が得られていた.しかし,これらの理論は非線形波動・分散型方程式に対しては適用できない.今回は,定常解の近傍における線形化作用素の精密な解析を行ない,複素ポテンシャルを持つ線形シュレディンガー方程式に対するStrichartz評価式を証明することにより漸近安定性の証明に成功した.

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  • Applications to mathematics in general of harmonic analysis

    Grant number:21740104  2009 - 2011

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B)  Grant-in-Aid for Young Scientists (B)  Kyoto University

    SAWANO Yoshihiro

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount: \4420000 ( Direct Cost: \3400000 、 Indirect Cost: \1020000 )

    I worked on the following projects.
    1. Multilinear estimates of fractional integral operators on Morrey spaces and its applications to PDE
    2. Hardy spaces with variable exponents
    3. Axiomatic analysis on Besov spaces
    4. Writing a book in English on reproducing kernel Hilbert spaces.
    5. Publishing a book in Japanese on Besov spaces

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  • Function spaces with variable exponent

    Grant number:20540167  2008 - 2011

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)  Grant-in-Aid for Scientific Research (C) 

    NAKAI Eiichi, MIZUTA Yoshihiro, SADASUE Gaku, SAWANO Yoshihiro

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    Grant amount: \4290000 ( Direct Cost: \3300000 、 Indirect Cost: \990000 )

    To establish the theory of function spaces with variable exponent, based on the study of Lebesgue spaces with variable exponent we have investigated Hardy spaces with variable exponent, generalized Campanato spaces with variable growth condition and their related function spaces. We have found a suitable definition of these function spaces and establish the theory by studying behaviour of integral operators on them.

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  • 実解析学における関数空間の研究および偏微分方程式への応用

    Grant number:07J00483  2007 - 2009

    日本学術振興会  科学研究費助成事業 特別研究員奨励費  特別研究員奨励費  首都大学東京

    澤野 嘉宏

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    Grant amount: \2200000 ( Direct Cost: \2200000 )

    本年後は次の研究をした。
    1.Non-doubling測度を備えたユークリッド空間の解析
    2.Lebesgue測度空間を備えたユークリッド空間、コンパクトリーマン多様体上の関数空間の解析
    3.再生各ヒルベルト空間に関する解析
    1.私が定義したMorrey空間predualを決定して、Morrey空間および周辺の関数空間を整備した。広島大学、バンドン工科大学でこの関数空間に関して講義した。
    2.昨年得られたアトム分解などを用いて領域上の関数空間(Besov-Morrey空間など)の理論を展開し、その応用としてコンパクトリーマン多様体上の関数空間の解析を展開した。
    アトム分解のそのほかの応用として擬微分作用素を考えて、Harmonic Analysis and its Application at Sapporo-2007の報告集にまとめた。さらに、Morreyノルムの同値なノルムとしてTriebel-Lizorkin-Morreyノルムがあるということもその報告集に収録した。Besov空間と類似の関数空間であるModulation空間に関してアトム分解を考えた。さらに、その結果は荷重つきの関数空間に拡張できることを示した。
    3.ラプラス変換の逆変換公式を求めるべく、再生核Hibert空間H_Kを考察し(Kを特定してH_Kを記述しなくてはならないが、定義はここでは省略)ある種の積分作用素のコンパクト性を示した。
    また、特異積分作用素を数値的に計算するときに近似法が有効であり、誤差評価を与えた。

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  • Harmonic analysis by real variable methods and its applications

    Grant number:18340043  2006 - 2009

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)  Tokyo Woman's Christian University

    MIYACHI Akihiko, KANJIN Yuichi, KOZONO Hideo, SATO Shuichi, SATO Enji, FURUYA Yasuo, TACHIZAWA Kazuya, SHINOHARA Masahiko, OAKU Toshinori, OKADA Masami, SUGIMOTO Mitsuru, TOMITA Naohito, KOBAYASHI Masaharu, SAWANO Yoshihiro, NAKAI Eiichi, KANJIN Yuichi, SATO Enji

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    Grant amount: \15130000 ( Direct Cost: \12400000 、 Indirect Cost: \2730000 )

    We introduced a function space on a domain of the Euclidean space and established its fundamental properties. The function space has several properties similar to the Hardy space on the whole Euclidean space introduced by Fefferman and Stein. In particular, we showed that the change of variables defined through diffeomorphisms, with certain properties, of the basic domains transforms the function space into another function space of the same kind. We used the function space to study classical orthogonal series. We investigated several other function spaces used in the field of time-frequency analysis and obtained several results concerning the operators acting in those spaces.

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  • 実解析学における関数空間の研究と偏微分方程式への応用

    2007.4 - 2008.3

    日本学術振興会  特別研究員奨励費 

    澤野嘉宏

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    Authorship:Principal investigator  Grant type:Competitive

    微分積分を中心とした解析学全般の研究

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  • 実解析学における関数空間の研究および偏微分方程式への応用

    Grant number:05J11230  2006.4 - 2007.3

    日本学術振興会  特別研究員奨励費  特別研究員奨励費  東京大学

    澤野嘉宏

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    Authorship:Principal investigator  Grant type:Competitive

    調和解析に現れる作用素の研究をしている.

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Teaching Experience

  • 線形代数学

    2020.4 - Now  

  • 確率解析学

    2023.4 - 2024.3  

  • 整数論演習

    Institution:学習院大学

  • 微分積分演習

  • 関数解析

    Institution:学習院大学

  • 特殊関数

  • 微分積分

    Institution:首都大学東京

  • 関数解析

    Institution:首都大学東京

  • 調和解析学

  • 微分積分

  • 関数解析

  • 複素解析

  • フーリエ解析

  • 確率論

  • 常微分方程式

  • ベクトル解析

  • ルベーグ積分

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Committee Memberships

  • 2025.3 - Now

    日本数学会   合同シンポジウム委員  

  • 2025.1 - Now

    Bulletin of Korean Mathematical Society編集委員  

  • 2024.4 - Now

    Tokyo Journal of Mathematics 副編集長  

  • 2019.7 - Now

    Journal of Fourier Analysisのエディター  

  • 2014.4 - Now

    Azerbaijan Journal of Mathematics編集委員  

  • 2013.7 - Now

    Journal of Function Spaces編集委員  

  • 2013.4 - Now

    Journal of Analysis and Applications編集委員  

  • 2021.4 - 2024.3

    Tokyo Journal of Mathematics編集委員(理事長,副理事長を含む)  

  • 2016.4 - 2018.3

    TJM(Tokyo Journal of Mathematics)編集委員  

  • 2015.7 - 2017.6

    日本数学会   「数学」編集委員  

  • 2013.4 - 2016.4

    World Scientific Journal編集委員  

  • Integral transform and special functions編集委員  

  • Journal of Mathematical Science編集委員  

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Social Activities

  • 実解析・複素解析・函数解析の総合的研究

    Role(s): Appearance, Commentator, Presenter

    澤野嘉宏,瀬戸道生  2023.10 - Now

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    Type:Seminar, workshop

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  • 中央大調和解析セミナー組織委員

    Role(s): Organizing member

    2016 - Now

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  • 研究指導

    Role(s): Advisor

    イラン,ザンジャン大学  2017 - 2018

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  • 紙を使って放物線を作ろう

    Role(s): Lecturer

    首都大学東京  2017.7 -  

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  • 研究委託指導

    Role(s): Advisor

    パキスタン,チュビリシー大学  2016 - 2017

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  • 実函数論・函数解析学合同シンポジウム

    Role(s): Organizing member

    2016.9    

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  • 東京大学調和解析セミナー組織委員

    Role(s): Organizing member

    2012 - 2016

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  • 不等式入門,最大最小問題へのアプローチ

    Role(s): Lecturer

    首都大学東京  2016 -  

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  • 不等式入門,最大最小問題へのアプローチ

    Role(s): Lecturer

    2015.7 -  

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  • ルベーグ積分入門

    Role(s): Lecturer

    首都大学東京  2014.10 - 2014.11

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    Type:Visiting lecture

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  • 研究者としてやっていくためには,回顧と分析

    Role(s): Lecturer

    2014.4 -  

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  • What is necessary for mathematicians ?

    Role(s): Lecturer

    2014.3 -  

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  • 測度0の図形とその性質

    Role(s): Lecturer

    首都大学東京  2014 -  

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  • 研究者としてやっていくためには,回顧と分析

    Role(s): Lecturer

    首都大学東京  2013.4 -  

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  • 不等式入門,

    Role(s): Lecturer

    首都大学東京  2012.6 -  

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  • 京都大学NLPDEセミナー

    Role(s): Organizing member

    京都大学  2010.4 - 2012.3

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  • フェルマーの最終定理について

    Role(s): Lecturer

    京都大学  2011.8 -  

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  • 研究集会の開催

    Role(s): Appearance, Commentator, Presenter

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  • 学位審査

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    Type:Research consultation

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  • 調和解析入門

    Role(s): Lecturer

    首都大学東京 

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  • 研究資金の審査

    Role(s): Report writing

    香港 

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