MIZUTA Yoshihiro 水田義広

Researcher Number	00093815
Other IDs
Affiliation *help	2017 : 広島大学, 理学研究科, 名誉教授 2016 : 広島大学, 大学院理学研究科, 名誉教授 2011 – 2015 : 広島工業大学, 工学部, 教授 2008 – 2011 : 広島大学, 理学(系)研究科(研究院), 教授 2006 – 2010 : Hiroshima University, Graduate School of Science, Prof. … More
Research Field	Except Principal Investigator Basic analysis / 解析学 / Basic analysis / Global analysis / 代数学・幾何学 / Algebra / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Except Principal Investigator 関数空間 / ソボレフ関数 / ポテンシャル / リーマン面 / 変動指数 / 楕円型方程式 / 調和関数 / 等角写像 / 自己相似解 / 楕円型偏微分方程式 … More

Wienerの一般調和解析に端を発する関数空間の深化と展開Ongoing
- Principal Investigator
  
  松岡勝男
- Project Period (FY)
  2017 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Nihon University
実解析・調和解析に由来する関数空間の理論の深化と応用Ongoing
- Principal Investigator
  
  NAKAI Eiichi
- Project Period (FY)
  2015 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Ibaraki University
変動指数をもつ関数空間の先端的研究Principal InvestigatorOngoing
- Principal Investigator
  
  水田義弘
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hiroshima Institute of Technology
Harmonic analysis based on function spaces with variable exponent and its applications
- Principal Investigator
  
  NAKAI Eiichi
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ibaraki University
Potential theoretic study for elliptic partial differential equations
- Principal Investigator
  
  SHIMOMURA TETSU
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hiroshima University
Various aspects on the study of Geometric Function Theory
- Principal Investigator
  
  SUGAWA Toshiyuki
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Potential analysis of various function spaces and applicationPrincipal Investigator
- Principal Investigator
  
  MIZUTA Yoshihiro
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hiroshima Institute of Technology
  Hiroshima University
Potential theoretic study of elliptic partial differential equations
- Principal Investigator
  
  SHIMOMURA Tetsu
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hiroshima University
Function spaces with variable exponent
- Principal Investigator
  
  NAKAI Eiichi
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ibaraki University
  Osaka Kyoiku University
Potential theoretic study of Sobolev functions
- Principal Investigator
  
  SHIMOMURA Tetsu
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hiroshima University
New development of geometric function theory focused on conformal invariants
- Principal Investigator
  
  SUGAWA Toshiyuki
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
  Hiroshima University
変動指数をもつ関数空間の研究Principal Investigator
- Principal Investigator
  
  水田義弘
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Hiroshima University
Study on the theory of conformal embeddings of a Riemann surface focused on the hyperrbolic metric and hydrodynamics of viscous fluids
- Principal Investigator
  
  SHIBA Masakazu
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hiroshima University
Potential analysis
- Principal Investigator
  
  AIKAWA Hiroaki
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Hokkaido University
  Shimane University
Potential Analysis for Sobolev functionsPrincipal Investigator
- Principal Investigator
  
  MIZUTA Yoshihiro
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  HIROSHIMA UNIVERSITY
Asymptotic analysis of nonlinear ordinary differential equations and its applications
- Principal Investigator
  
  USAMI Hiroyuki
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  HIROSHIMA UNIVERSITY
Analysis on the nonlinear elliptic eigenvalue problems
- Principal Investigator
  
  SHIBATA Tetsutaro
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  HIROSHIMA UNIVERSITY
Structure of solutions to the system of equations describing chemotactic aggregation of cellular slime molds
- Principal Investigator
  
  YOSHIDA Kiyoshi
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  HIROSHIMA UNIVERSIlY
Interdisciplinary research on complicated sets related to functional equations
- Principal Investigator
  
  AKIKAWA Hiroaki
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Shimane University
Asymptotic analysis of ordinary differential equations, and its application to partial differential equations
- Principal Investigator
  
  USAMI Hiroyuki
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  HIROSHIMA UNIVERSITY
Research on the nonlinear elliptic eigenvalue problems by variational methods
- Principal Investigator
  
  SHIBATA Tetsutaro
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  HIROSHIMA UNIVERSITY
Interdisciplinary research on potential analysis
- Principal Investigator
  
  SUGIE Jitsuro, 相川弘明
- Project Period (FY)
  1999 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Shimane University
Theory of injective holomorphic mappings of a Riemann surface into another and its applications to hydrodynamics - a modern comprehension of the classical theory of univalent functions
- Principal Investigator
  
  SHIBA Masakazu
- Project Period (FY)
  1999 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  HIROSHIMA UNIVERSITY
Structure of solutions to Keller-Segel system
- Principal Investigator
  
  YOSHIDA Kiyoshi
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  HIROSHIMA UNIVERSITY
Applications of analyticoty of functions
- Principal Investigator
  
  SAITOH Saburou
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (A).
- Research Field
  
  Basic analysis
- Research Institution
  Gunma University
Potential the Oretic study on quasi-regular mappingsPrincipal Investigator
- Principal Investigator
  
  MIZUTA Yoshihiro
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Hiroshima University
Potential theoretic research on elliptic differential equations
- Principal Investigator
  
  AIKAWA H.
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Shimane University
Structure of solutions to the differential equations arising in natural phenomina
- Principal Investigator
  
  YOSHIDA Kiyoshi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  HIROSHIMA UNIVERSITY
C^nの特徴づけについて
- Principal Investigator
  
  FURUSHIMA Mikio
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hiroshima University
微分方程式の解の漸近的性質
- Principal Investigator
  
  SHIBATA Tetsutaro
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Hiroshima University
擬等角写像の境界挙動に関する研究Principal Investigator
- Principal Investigator
  
  水田義弘
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Hiroshima University
Integrated research on potential theory in manifoldsPrincipal Investigator
- Principal Investigator
  
  MIZUTA Yoshihiro
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  解析学
- Research Institution
  HIROSHIMA UNIVERSITY
非線形現象と微分方程式
- Principal Investigator
  
  吉田清
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Hiroshima University
複素解析学とポテンシャル論の総合的研究
- Principal Investigator
  
  前田文之
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  解析学
- Research Institution
  Hiroshima University
可換代数の研究
- Principal Investigator
  
  伊藤史朗
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hiroshima University
コンピュータと数学教育の係わりについての総合的研究
- Principal Investigator
  
  竹之内脩, 前田文之
- Project Period (FY)
  1992 – 1994
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  解析学
- Research Institution
  Osaka International University
  Hiroshima University
一部実施要因計画の構築と解析の研究
- Principal Investigator
  
  桑田正秀
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hiroshima University
解析写像の研究
- Principal Investigator
  
  藤家龍雄
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
実体,2次形式と多様体
- Principal Investigator
  
  岩上辰男
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Hiroshima University
射影部分多様体の理論と微分方程式系
- Principal Investigator
  
  板野暢之
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Hiroshima University
ポテンシャル論の研究とその応用についてPrincipal Investigator
- Principal Investigator
  
  水田義弘
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Hiroshima University
Finite Difference Method and Finite Element Method on Manifolds, and Their Applications
- Principal Investigator
  
  MIZUMOTO Hisao
- Project Period (FY)
  1985 – 1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  HIROSHIMA UNIVERSITY

All 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 Other

All Journal Article Presentation

[Journal Article] Boundedness of the maximal operator and Sobolev's inequality on non-homogeneous central Herz-Morrey-Orlicz spaces2015
- Author(s)
  Yoshihiro Mizuta， Takao Ohno
- Journal Title
  
  Nonlinear Anal.
  
  Volume : 128 Pages : 325-347
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26400154
[Journal Article] Sobolev's inequality for Riesz potentials in Lorentz spaces of variable exponent2015
- Author(s)
  Yoshihiro Mizuta and Takao Ohno
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume : 67
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15H03621
[Journal Article] DYNAMICAL CONVERGENCE OF A CERTAIN POLYNOMIAL FAMILY TO fa(z) = z + e^z + a2015
- Author(s)
  Shunsuke Morosawa
- Journal Title
  
  Annales Academiae Scientiarum Fennicae
  
  Volume : 40 Pages : 449-463
- Peer Reviewed / Open Access / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23540213, KAKENHI-PROJECT-21540183
[Journal Article] Sobolev's theorem and duality for Herz-Morrey spaces of variable exponent2014
- Author(s)
  Yoshihiro Mizuta and Takao Ohno
- Journal Title
  
  Ann. Acad. Sci. Fenn. Math.
  
  Volume : 39 Pages : 389-416
- Data Source
  KAKENHI-PROJECT-22540192
[Journal Article] Sobolev embeddings for Riesz potentials of functions in Morrey spaces $L^{1,\nu,\beta_1,\beta_2}(R^n)$2014
- Author(s)
  Y. Mizuta, T. Shimomura
- Journal Title
  
  Math. Inequal. Appl.
  
  Volume : 17 Pages : 1399-1414
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540174
[Journal Article] SOBOLEV’S THEOREM AND DUALITY FOR　HERZ-MORREY SPACES OF VARIABLE EXPONENT2014
- Author(s)
  Yoshihiro Mizuta， Takao Ohno
- Journal Title
  
  Ann. Acad. Sci. Fenn. Math.
  
  Volume : 39 Pages : 389-416
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26400154
[Journal Article] Hardy's inequality in Musielak-Orlicz-Sobolev spaces2014
- Author(s)
  F. - Y. Maeda, Y. Mizuta, T. Ohno, T. Shimomura
- Journal Title
  
  Hiroshima Math. J.
  
  Volume : 44 Pages : 139-155
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540174
[Journal Article] Littlewood-Paley theory for variable exponent Lebesgue spaces and Gagliardo-Nirenberg inequality for Riesz potentials2013
- Author(s)
  Yoshihiro Mizuta, Eiichi Nakai, Yoshihiro Sawano and Tetsu Shimomura
- Journal Title
  
  J. Math. Soc. Japan
  
  Volume : 65 Pages : 633-670
- Data Source
  KAKENHI-PROJECT-22540192
[Journal Article] Sobolev's inequality for Riesz potentials in central Lorentz-Morrey spaces of variable exponent2013
- Author(s)
  Yoshihiro Mizuta and Takao Ohno
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume : B43 Pages : 101-120
- Data Source
  KAKENHI-PROJECT-22540192
[Journal Article] Hardy averaging operator on generalized Banach function spaces and duality2013
- Author(s)
  Yoshihiro Mizuta, Ales Nekvinda and Tetsu Shimomura
- Journal Title
  
  Z. Anal. Anwend.
  
  Volume : 32 Pages : 233-255
- Data Source
  KAKENHI-PROJECT-22540192
[Journal Article] Mean continuity for potentials of functions in Musielak-Orlicz spaces2013
- Author(s)
  Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
- Journal Title
  
  RIMSKokyuroku Bessatsu
  
  Volume : B43 Pages : 67-86
- Data Source
  KAKENHI-PROJECT-22540192
[Journal Article] Littlewood-Paley theory for variable exponent Lebesgue spaces and Gagliardo-Nirenberg inequality for Riesz potentials2013
- Author(s)
  Yoshihiro Mizuta, Eiichi Nakai, Yoshihiro Sawano and Tetsu Shimomura
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume : 65 Pages : 633-670
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-24540159, KAKENHI-PROJECT-24540174
[Journal Article] Boundedness of maximal operators and Sobolev's inequality on Musielak-Orlicz-Morrey spaces2013
- Author(s)
  Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
- Journal Title
  
  Bull. Sci. math.
  
  Volume : 37 Pages : 76-96
- Data Source
  KAKENHI-PROJECT-22540192
[Journal Article] Trudinger's inequality and continuity of potentials on Musielak-Orlicz-Morrey spaces2013
- Author(s)
  Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
- Journal Title
  
  Potential Anal.
  
  Volume : 38 Pages : 515-535
- Data Source
  KAKENHI-PROJECT-22540192
[Journal Article] Approximate identities and Young type inequalities in Musielak-Orlicz spaces2013
- Author(s)
  F. - Y. Maeda, Y. Mizuta, T. Ohno, T. Shimomura
- Journal Title
  
  Czechoslovak Math. J.
  
  Volume : 63 Pages : 933-948
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540174
[Journal Article] Trudinger's inequality and continuity of potentials on Musielak-Orlicz-Morrey spaces2013
- Author(s)
  Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
- Journal Title
  
  Potential Anal
  
  Volume : 38 Pages : 515-535
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740108, KAKENHI-PROJECT-24540174
[Journal Article] Boundedness of maximal operators and Sobolev's inequality on Musielak-Orlicz-Morrey spaces2013
- Author(s)
  Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
- Journal Title
  
  Bull. Sci. Math
  
  Volume : 137 Pages : 76-96
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740108, KAKENHI-PROJECT-24540174
[Journal Article] Gagliardo-Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces2012
- Author(s)
  Yoshihiro Mizuta, Eiichi Nakai, Yoshihiro Sawano and Tetsu Shimomura
- Journal Title
  
  Archiv der Mathematik
  
  Volume : Volume 98, Number 3 Pages : 253-263
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in R^n2012
- Author(s)
  Yoshihiro Mizuta
- Journal Title
  
  Rev. Mat. Complut.
  
  Volume : 25 Pages : 413-434
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244007, KAKENHI-PROJECT-22540192, KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-23740108, KAKENHI-PROJECT-24540159, KAKENHI-PROJECT-24540174
[Journal Article] Gagliardo-Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces2012
- Author(s)
  Yoshihiro Mizuta, Eiichi Nakai, Yoshihiro Sawano, Tetsu Shimomura
- Journal Title
  
  Archiv der Mathematik
  
  Volume : 98 Pages : 253-263
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167, KAKENHI-PROJECT-22540192, KAKENHI-PROJECT-24540174
[Journal Article] A trace inequality of Riesz potentials in variable exponent Orlicz spaces2012
- Author(s)
  Y. Mizuta, T. Shimomura
- Journal Title
  
  Math. Nachr.
  
  Volume : 285 Pages : 1466-1485
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540174
[Journal Article] Weighted Sobolev inequality in Musielak-Orlicz space2012
- Author(s)
  Y. Mizuta, T. Shimomura
- Journal Title
  
  J. Math. Anal. Appl.
  
  Volume : 388 Pages : 86-97
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540174
[Journal Article] Maximal functions, Riesz potentials and Sobolev embeddings on Morrey-Musielak-Orlicz spaces of variable exponent in R^n2012
- Author(s)
  Yoshihiro Mizuta, Eiichi Nakai, Takao Ohno and Tetsu Shimomura
- Journal Title
  
  Rev. Mat. Complut.
  
  Volume : 25 Pages : 413-434
- Data Source
  KAKENHI-PROJECT-22540192
[Journal Article] Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponent2011
- Author(s)
  Yoshihiro Mizuta, Eiichi Nakai, Takao Ohno and Tetsu Shimomura
- Journal Title
  
  Complex Variables and Elliptic Equations
  
  Volume : Vol.56, Issue 7-9 Pages : 671-695
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Capacity for potentials of functions in Musielak-Orlicz spaces2011
- Author(s)
  F.-Y.Maeda, Y.Mizuta, T.Ohno, T.Shimomura
- Journal Title
  
  Nonlinear Anal.
  
  Volume : 74 Pages : 6231-6243
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244007, KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183, KAKENHI-PROJECT-22540192, KAKENHI-PROJECT-23740108
[Journal Article] Sobolev's inequality for Riesz potentials in Orlicz-Musielak spaces of variable exponent2011
- Author(s)
  Yoshihiro Mizuta, Eiichi Nakai, Takao Ohno, Tetsu Shimomura
- Journal Title
  
  Banach and Function Spaces III, Yokohama Publishers
  
  Pages : 409-419
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents2011
- Author(s)
  Y.Mizuta, E.Nakai, T.Ohno, T.Shimomura
- Journal Title
  
  Complex Vari.Elliptic Equ.
  
  Volume : 56 Pages : 671-695
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540183
[Journal Article] Orlicz-Sobolev capacity of balls2011
- Author(s)
  Toshihide Futamura, Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
- Journal Title
  
  Illinois Math. J.
  
  Volume : 55 Pages : 543-553
- Data Source
  KAKENHI-PROJECT-22540192
[Journal Article] Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponent2011
- Author(s)
  Y.Mizuta, E.Nakai, T.Ohno, T.Shimomura
- Journal Title
  
  Complex Var.Elliptic Equ.
  
  Volume : 56 Pages : 671-695
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244007, KAKENHI-PROJECT-20540167, KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183, KAKENHI-PROJECT-22540192, KAKENHI-PROJECT-23740108
[Journal Article] Hardy's inequality in Orlicz-Sobolev spaces of variable exponent2011
- Author(s)
  Yoshihiro Mizuta, Eiichi Nakai, Takao Ohno, Tetsu Shimomura
- Journal Title
  
  Hokkaido Mathematical Journal
  
  Volume : 40 Pages : 187-203
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Hardy' s inequality in Orlicz-Sobolev spaces of variable exponent2011
- Author(s)
  Y. Mizuta, E. Nakai, T. Ohno and T. Shimomura
- Journal Title
  
  Hokkaido Math. J.
  
  Volume : 40 Pages : 187-203
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540183
[Journal Article] Sobolev' s inequality for Riesz potentials in Orlicz-Musielak spaces2011
- Author(s)
  Y. Mizuta, E. Nakai, T. Ohno and T. Shimomura
- Journal Title
  
  Proceedings of the International Symposium on Banach and Function Spaces III(Kitakyushu, Japan, 2009)
  
  Pages : 409-419
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540183
[Journal Article] Iterated maximal functions in variable exponent Lebesgue spaces2011
- Author(s)
  P.Harjulehto, P.Hasto, Y.Mizuta, T.Shimomura
- Journal Title
  
  Manuscripta Math.
  
  Volume : 135 Pages : 381-399
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244007, KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183
[Journal Article] Integrability of maximal functions and Riesz potentials in Orlicz spaces of variable exponent2010
- Author(s)
  T. Futamura, Y. Mizuta and T. Shimomura
- Journal Title
  
  J. Math. Anal. Appl
  
  Volume : 366No.2 Pages : 391-417
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183
[Journal Article] Sobolev inequalities for Orlicz spaces of two variable exponents2010
- Author(s)
  P. Hasto, Y. Mizuta, T. Ohno and T. Shimomura
- Journal Title
  
  Glasgow Math. J
  
  Volume : 52 Pages : 227-240
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183
[Journal Article] Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials2010
- Author(s)
  Y. Mizuta, E. Nakai, T. Ohno and T. Shimomura
- Journal Title
  
  J. Math. Soc. Japan
  
  Volume : 62, No.3 Pages : 707-744
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183
[Journal Article] Sobolev's inequality for Riesz potentials of functions in Morrey spaces of integral form2010
- Author(s)
  Y. Mizuta and T. Shimomura
- Journal Title
  
  Math. Nachr
  
  Volume : 283No.9 Pages : 1336-1352
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183
[Journal Article] Weighted Orlicz-Riesz capacity of balls2010
- Author(s)
  Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
- Journal Title
  
  Proc. Amer. Math. Soc.
  
  Volume : 138 Pages : 4291-4302
- Data Source
  KAKENHI-PROJECT-22540192
[Journal Article] Compact embeddings for Sobolev spaces of variable exponents and existence of solutions for nonlinear elliptic problems involving the$ p(x)$ Laplacian and its critical exponent2010
- Author(s)
  Y. Mizuta, T. Ohno, T. Shimomura and N. Shioji
- Journal Title
  
  Ann. Acad. Sci. Fenn. Math
  
  Volume : 35 Pages : 115-130
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183
[Journal Article] Sobolev embeddings for Riesz potential spaces of variable exponents near$ 1$ and Sobolev's exponent2010
- Author(s)
  Y. Mizuta, T. Ohno and T. Shimomura
- Journal Title
  
  Bull. Sci. Math
  
  Volume : 134 Pages : 12-36
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183
[Journal Article] Continuity properties for Riesz potentials of functions in Morrey spaces of variable exponent2010
- Author(s)
  Y. Mizuta and T. Shimomura
- Journal Title
  
  Math. Inequal. Appl
  
  Volume : 13 Pages : 99-122
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183
[Journal Article] Sobolev embeddings for Riesz potential spaces of variable exponents near 1 and Sobolev's exponent2010
- Author(s)
  Yoshihiro Mizuta
- Journal Title
  
  Bull.Sci.Math.
  
  Volume : 134 Pages : 12-36
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540183
[Journal Article] Sobolev's inequality for Riesz potentials of functions in Morrey spaces of integral form2010
- Author(s)
  Yoshihiro Mizuta
- Journal Title
  
  Math.Nachr.
  
  Volume : 283 Pages : 1336-1352
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540183
[Journal Article] Approximate identities in variable Lebesgue-Orlicz spaces L^<p・>(log L)^<q(・)>2010
- Author(s)
  Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno
- Journal Title
  
  Ann.Acad.Sci.Fenn.Math.
  
  Volume : 35 Pages : 405-420
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540192
[Journal Article] Weighted Orlicz-Riesz capacity of balls2010
- Author(s)
  Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura
- Journal Title
  
  Proc.Amer.Math.Soc.
  
  Volume : 138 Pages : 4291-4302
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540192
[Journal Article] Weighted Orlicz-Riesz capacity of balls,Proc2010
- Author(s)
  Y. Mizuta, T. Ohno, T. Shimomura
- Journal Title
  
  Amer. Math. Soc
  
  Volume : 138 Pages : 4291-4302
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244007, KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183
[Journal Article] Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials2010
- Author(s)
  水田義弘, 中井英一, 大野貴雄, 下村哲
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume : 62 Pages : 707-744
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Boundedness of fractional integral operators on Morrey spacesand Sobolev embeddings for generalized Riesz potentials2010
- Author(s)
  Yoshihiro Mizuta, Eiichi Nakai, Takao Ohno, Tetsu Shimomura
- Journal Title
  
  Math.Soc.Japan
  
  Volume : 62 Pages : 707-744
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540192
[Journal Article] Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials2010
- Author(s)
  水田義弘、中井英一、大野貴雄、下村哲
- Journal Title
  
  Journal of the Mathematical Society of Japan Vol.62
  
  Pages : 707-744
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Sobolev' s inequality for Orlicz-Sobolev spaces of variable exponents2009
- Author(s)
  Y. Mizuta, T. Ohno and T. Shimomura
- Journal Title
  
  数理解析研究所講究録
  
  Volume : 1669 Pages : 91-102
- URL
  http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1669-08.pdf
- Data Source
  KAKENHI-PROJECT-21540183
[Journal Article] Variable exponent spaces on metric measure spaces, More progresses in analysis(ISAAC-5, Catania, 2005, Begehr and Nicolosi(ed.)2009
- Author(s)
  T. Futamura, P. Harjulehto, P. Hasto, Y. Mizuta and T. Shimomura
- Journal Title
  
  World Scientific
  
  Pages : 107-121
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540183
[Journal Article] Continuity properties of Riesz potentials of Orlicz functions2009
- Author(s)
  Y. Mizuta and T. Shimomura
- Journal Title
  
  Tohoku Math. J.
  
  Volume : 61 Pages : 225-240
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183
[Journal Article] Maximal functions in variable exponent spaces : limiting cases of the exponent2009
- Author(s)
  L. Diening, P. Harjulehto, P. Hasto, Y. Mizuta and T. Shimomura
- Journal Title
  
  Ann. Acad. Sci. Fenn. Math
  
  Volume : 34 Pages : 503-522
- URL
  http://www.acadsci.fi/mathematica/Vol34/DieningHarjulehtoHastoMizutaShimomura.html
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540183
[Journal Article] Integrability of maximal functions for generalized Lebesgue spaces Lp^(・)(log L) q^(・), Proceedings of the Conference on Potential Theory and Stochastics in Albac2009
- Author(s)
  Y. Mizuta, T. Ohno and T. Shimomura
- Journal Title
  
  AurelCornea Memorial Volume
  
  Pages : 193-202
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540183
[Journal Article] Integrability of maximal functions in Orlicz spaces of variable exponent2009
- Author(s)
  T. Futamura, Y. Mizuta and T. Shimomura
- Journal Title
  
  数理解析研究所講究録
  
  Volume : 1669 Pages : 37-51
- URL
  http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1669-03.pdf
- Data Source
  KAKENHI-PROJECT-21540183
[Journal Article] Sobolev' s inequality for Riesz potentials of functions in non-doubling Morrey spaces2009
- Author(s)
  Y. Mizuta, T. Shimomura and T. Sobukawa
- Journal Title
  
  Osaka J. Math
  
  Volume : 46 Pages : 255-271
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540183
[Journal Article] Sobolev's inequality for Riesz potentials of functions in non-doubling Morrey spaces2009
- Author(s)
  Yoshihiro Mizuta
- Journal Title
  
  Osaka J.Math. 46
  
  Pages : 255-271
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540183
[Journal Article] Continuity properties of Riesz potentials of Orlicz functions2009
- Author(s)
  Yoshihiro Mizuta
- Journal Title
  
  Tohoku Math.J. 61
  
  Pages : 225-240
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540183
[Journal Article] Sobolev's inequality for Riesz potentials of functions in non-doubling Morrey spaces2009
- Author(s)
  水田義弘, 下村哲, 曽布川拓也
- Journal Title
  
  Osaka Journal of Mathematics 46
  
  Pages : 255-271
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Integrability of maximal functions for generalized Lebesgue spaces with variable exponent2008
- Author(s)
  Y. Mizuta, T. Ohno, and T. Shimomura
- Journal Title
  
  Math. Nachr. 281
  
  Pages : 386-395
- Data Source
  KAKENHI-PROJECT-17340039
[Journal Article] Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent2008
- Author(s)
  Y. Mizuta, and T. Shimomura
- Journal Title
  
  J. Math. Soc. Japan 60
  
  Pages : 583-602
- Data Source
  KAKENHI-PROJECT-17340039
[Journal Article] Integrability of maximal functions for generalized Lebesgue spaces with variable exponent2008
- Author(s)
  Y. Mizuta, T. Ohno and T. Shimomura
- Journal Title
  
  Math. Nachr 281, No.3
  
  Pages : 386-395
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540185
[Journal Article] An elementary proof of Sobolev embeddings for. Riesz potentials of functionsin Morrey spaces L^{l, v, β}(G)2008
- Author(s)
  水田義弘, 中井英一, 大野貴雄, 下村哲
- Journal Title
  
  Hiroshima Mathematical Journal 38
  
  Pages : 425-436
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent2008
- Author(s)
  水田義弘, 下村哲
- Journal Title
  
  Journal of the Mathematical Society of Japan 60
  
  Pages : 583-602
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Isolated singularites, growth of spherical means and Riesz decomposition for superbiharmonic functions2008
- Author(s)
  T. Futamura, K. Kitaura, Y. Mizuta
- Journal Title
  
  Hiroshima Math. J. Vol.38
  
  Pages : 231-241
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540185
[Journal Article] Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent2008
- Author(s)
  Y. Mizuta and T. Shimomura
- Journal Title
  
  J. Math. Soc. Japan 60
  
  Pages : 583-602
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540185
[Journal Article] Sobolev's inequalities and vanishing integrability for Riesz potentials of functions in the generalized Lebesgue space L^<p(-)>(log L)^<q(-)>2008
- Author(s)
  Y. Mizuta, T. Ohno and T. Shimomura
- Journal Title
  
  J. Math. Anal. Appl 345
  
  Pages : 70-85
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540185
[Journal Article] An elementary proof of Sobolev embeddings for Riesz potentials of functions in Morrey spaces L^<1.ν.β>(G)2008
- Author(s)
  Y. Mizuta, E. Nakai, T. Ohno and T. Shimomura
- Journal Title
  
  Hiroshima Math. J 38
  
  Pages : 425-436
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540185
[Journal Article] Integrability of maximal functions for generalized Lebesgue spaces with variable exponent2008
- Author(s)
  Yoshihiro Mizuta
- Journal Title
  
  Math. Nachr. 281
  
  Pages : 386-395
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17654034
[Journal Article] Sobolev's inequalities and vanishing integrability for Riesz potentials of functions in the generalized Lebesgue space L^<p(・)>log L^<q(・)>2008
- Author(s)
  Yoshihiro Mizuta
- Journal Title
  
  Journal of Mathematical Analysis and Applications 345
  
  Pages : 70-85
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540185
[Journal Article] Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent2008
- Author(s)
  Yoshihiro Mizuta
- Journal Title
  
  Journal of the Mathematical Society of Japan 60
  
  Pages : 583-602
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540185
[Journal Article] Vanishing exponential integrability for Riesz potentials of functions in Orlicz classes2007
- Author(s)
  Y. Mizuta, and T. Shimomura
- Journal Title
  
  Illinois J.Math. 51
  
  Pages : 1039-1060
- Data Source
  KAKENHI-PROJECT-17340039
[Journal Article] Vanishing exponential integrability for Riesz potentials of functions in Orlicz classes2007
- Author(s)
  Y.Mizuta, T.Shimomura
- Journal Title
  
  Illinois Math. J. (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Integrability of maximal functions for generalized Lebesgue spaces with variable exponent2007
- Author(s)
  Y.Mizuta, T.Ohno, T.Shimomura
- Journal Title
  
  Math. Nachr. (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Continuity properties and vanishing exponential integrability of Riesz potentials of Orlicz functions2007
- Author(s)
  Y. Mizuta and T. Shimomura
- Journal Title
  
  京都大学数理解析研究所講究録 1553
  
  Pages : 137-148
- Data Source
  KAKENHI-PROJECT-19540185
[Journal Article] Vanishing exponential integrability for Riesz potentials of functions in Orlicz classes2007
- Author(s)
  Y. Mizuta and T. Shimomura
- Journal Title
  
  Illinois J. Math 51
  
  Pages : 1039-1060
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540185
[Journal Article] Integrability of maximal functions for generalized Lebesgue spaces with variable exponent2007
- Author(s)
  Y.Mizuta, T.Ohno, T.Shimomura
- Journal Title
  
  Math. Nachr.
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Vanishing exponential integrability for Riesz potentials of functions in Orlicz classes2007
- Author(s)
  Y.Mizuta, T.Shimomura
- Journal Title
  
  Illinois Math. J. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Integrability of maximal functions for generalized Lebesgue spaces with variable exponent2007
- Author(s)
  Y.Mizuta
- Journal Title
  
  Math. Nachr. (to appear)
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Vanishing exponential integrability for Riesz potentials of functions in Orlicz classes2007
- Author(s)
  Y.Mizuta
- Journal Title
  
  Illinois Math. J. (to appear)
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Sobolev embeddings for Riesz potential space of variable exponent2006
- Author(s)
  T. Futamura, Y. Mizuta, and T. Shimomura
- Journal Title
  
  Math. Nachr. 279
  
  Pages : 1463-1473
- Data Source
  KAKENHI-PROJECT-17340039
[Journal Article] Maximal functions, Riesz potentials and Sobolev's inequality in generalized Lebesgue spaces2006
- Author(s)
  Y.Mizuta, T.Shimomura
- Journal Title
  
  Advanced Studies in Pure Mathematics 44
  
  Pages : 255-281
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Existence of tangential limits for α-harmonic functions on half spaces2006
- Author(s)
  Y.Mizuta
- Journal Title
  
  Potential Analysis 25
  
  Pages : 29-36
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Sobolev embeddings for variable exponent Riesz potentials on metric spaces2006
- Author(s)
  T.Futamura, Y.Mizuta, T.Shimomura
- Journal Title
  
  to appear in Ann.Acad.Sci.Fenn.Math.
- Data Source
  KAKENHI-PROJECT-14340046
[Journal Article] Spherical means and Riesz decomposition for superbiharmonic functions2006
- Author(s)
  K.Kitaura, Y.Mizuta
- Journal Title
  
  J. Math. Soc. Japan 58
  
  Pages : 521-533
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Maximal functions for Lebesgue spaces with variable exponent approaching 12006
- Author(s)
  T.Futamura, Y.Mizuta
- Journal Title
  
  Hiroshima Math. J. 36
  
  Pages : 23-28
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Continuity of weakly monotone Sobolev functions of variable exponent2006
- Author(s)
  T.Futamura, Y.Mizuta
- Journal Title
  
  Advanced Studies in Pure Mathematics 44
  
  Pages : 127-143
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Sobolev embeddings for variable exponent Riesz potentials on metric spaces2006
- Author(s)
  T.Futamura, Y.Mizuta, T.Shimomura
- Journal Title
  
  Ann. Acad. Sci. Fenn. Math. 31
  
  Pages : 495-522
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Sobolev embeddings for Riesz potential space of variable exponent2006
- Author(s)
  T.Futamura, Y.Mizuta, T.Shimomura
- Journal Title
  
  Math. Nachr. 279
  
  Pages : 1463-1473
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Existence of tangential limits for a-harmonic functions on half spaces2006
- Author(s)
  Y.Mizuta
- Journal Title
  
  Potential Analysis 25
  
  Pages : 29-36
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Sobolev embeddings for variable exponent Riesz potentials on metric spaces2006
- Author(s)
  T.Futamura, Y.Mizuta, T.Shimomura
- Journal Title
  
  Ann.Acad.Sci.Fenn.Math. (印刷中)
- Data Source
  KAKENHI-PROJECT-17654034
[Journal Article] Maximal functions, Riesz potentials and Sobolev's inequality in generalized Lebesgue spaces2006
- Author(s)
  Y.Mizuta
- Journal Title
  
  Advanced Studies in Pure Mathematics 44
  
  Pages : 255-281
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Sobolev embeddings for variable exponent Riesz potentials on metric spaces2006
- Author(s)
  T. Futamura, Y. Mizuta, and T. Shimomura
- Journal Title
  
  Ann. Acad. Sci. Fenn. Math. 31
  
  Pages : 495-522
- Data Source
  KAKENHI-PROJECT-17340039
[Journal Article] Existence of tangential limits for alpha-harmonic functions on half spaces2006
- Author(s)
  Y. Mizuta
- Journal Title
  
  Potential Anal 25
  
  Pages : 29-36
- Data Source
  KAKENHI-PROJECT-17340039
[Journal Article] Spherical means and Riesz decomposition for superbiharmonic functions2006
- Author(s)
  K. Kitaura, and Y. Mizuta
- Journal Title
  
  J. Math. Soc. Japan 58
  
  Pages : 521-533
- Data Source
  KAKENHI-PROJECT-17340039
[Journal Article] Sobolev's inequality for Riesz potentials with variable exponent satisfying a log-Holder condition at infinity2005
- Author(s)
  Y.Mizuta
- Journal Title
  
  J.Math.Anal.Appl. 311
  
  Pages : 268-288
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Continuity of weakly monotone Sobolev functions2005
- Author(s)
  T. Futamura, and Y.Mizuta
- Journal Title
  
  Adv.Math.Sci.Appl. 15
  
  Pages : 571-585
- Data Source
  KAKENHI-PROJECT-17340039
[Journal Article] Boundary behavior of monotone Sobolev functions on John domains in a metric space2005
- Author(s)
  T. Futamura Y. Mizuta
- Journal Title
  
  Complex Variable Theory AppL 50
  
  Pages : 441-451
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540157
[Journal Article] Isolated singularities of sub-polyharmonic functions2005
- Author(s)
  T.Futamura, Y.Mizuta
- Journal Title
  
  Hokkaido Math.J. 33
  
  Pages : 675-695
- Data Source
  KAKENHI-PROJECT-14340046
[Journal Article] Sobolev's inequality for Riesz potentials with variable exponent satisfying a log-Holder condition at infinity2005
- Author(s)
  Y.Mizuta, T.Shimomura
- Journal Title
  
  J. Math. Anal. Appl. 311
  
  Pages : 268-288
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Existence of tangential limits for α-harmonic functions on half spaces2005
- Author(s)
  Y.Mizuta
- Journal Title
  
  Potential Analysis 28(to appear)
  
  Pages : 209-219
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Boundary behavior of monotone Sobolev functions on John domains in a metric space2005
- Author(s)
  T.Futamura, Y.Mizuta
- Journal Title
  
  Complex Variables 50
  
  Pages : 441-451
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Sobolev's inequality for Riesz potentials with variable exponent satisfying a log-Hoelder condition at infinity2005
- Author(s)
  Y. Mizuta, and T. Shimomura
- Journal Title
  
  infinity. J. Math. Anal. Appl. 311
  
  Pages : 268-288
- Data Source
  KAKENHI-PROJECT-17340039
[Journal Article] Boundary behavior of monotone Sobolev functions on John domains in a metric space2005
- Author(s)
  T.Futamura, Y.Mizuta
- Journal Title
  
  Complex Var. Theory Appl. 50
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340046
[Journal Article] Sobolev's inequality for Riesz potentials with variable exponent satisfying a log- Holder condition at infinity2005
- Author(s)
  Y.Mizuta, T.Shimomura
- Journal Title
  
  J. Math. Anal. Appl. 311
  
  Pages : 268-288
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Sobolev's inequality for Riesz potentials with variable exponent satisfying a log-Hoelder condition at infinity2005
- Author(s)
  Mizuta, Y.
- Journal Title
  
  J.Math.Anal.Appl. 811
  
  Pages : 268-288
- Data Source
  KAKENHI-PROJECT-16540157
[Journal Article] Sobolev's inequality for Riesz potentials with variable exponent satisfying a log-Holder condition at infinity}2005
- Author(s)
  Y.Mizuta, T.Shimomura
- Journal Title
  
  J.Math.Anal.Appl. 311
  
  Pages : 268-288
- Data Source
  KAKENHI-PROJECT-17654034
[Journal Article] Continuity of weakly monotone Sobolev functions2005
- Author(s)
  T.Futamura, Y.Mizuta
- Journal Title
  
  Advances in Math.Sci.and Applications 15
  
  Pages : 571-585
- Data Source
  KAKENHI-PROJECT-14340046
[Journal Article] Sobolev's inequality for Riesz potentials with variable exponent satisfying a log-Holder condition at infinity2005
- Author(s)
  Y.Mizuta, T.Shimomura
- Journal Title
  
  J.Math.Anal.Appl 311
  
  Pages : 268-188
- Data Source
  KAKENHI-PROJECT-14340046
[Journal Article] Boundary behavior of monotone Sobolev functions on John domains in a metric space2005
- Author(s)
  T.Futamura, Y.Mizuta
- Journal Title
  
  Complex Var.Theory Appl. 50
  
  Pages : 441-451
- Data Source
  KAKENHI-PROJECT-14340046
[Journal Article] Growth properties of p-th means of biharmonic Green potentials in the unit ball2005
- Author(s)
  T.Futamura, Y.Mizuta
- Journal Title
  
  Osaka Math.J. 42
  
  Pages : 85-99
- Data Source
  KAKENHI-PROJECT-14340046
[Journal Article] Continuity of Sobolev functions of variable exponent on metric spaces2004
- Author(s)
  Y.Mizuta, T.Shimomura
- Journal Title
  
  Proc.Japan Acad.Ser.A Math.Sci. 80
  
  Pages : 96-99
- Data Source
  KAKENHI-PROJECT-14340046
[Journal Article] Minimally fine limits at infinity for p-precise functions2004
- Author(s)
  Y.Mizuta, T.Shimomura
- Journal Title
  
  J.Math.Soc.Japan 56
  
  Pages : 1-15
- Data Source
  KAKENHI-PROJECT-14340046
[Journal Article] Continuity of Sobolev functions of variable exponent on metric spaces2004
- Author(s)
  Y.Mizuta, T.Shimomura
- Journal Title
  
  Proc. Japan Acad. Ser. A Math. Sci. 80
  
  Pages : 96-99
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Minimally fine limits at infinity for p-precise functions2004
- Author(s)
  Y.Mizuta, T.Shimomura
- Journal Title
  
  J. Math. Soc. Japan 56
  
  Pages : 1-15
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Continuity of Sobolev functions of variable exponent on metric spaces2004
- Author(s)
  Y.Mizuta, T.Shimomura
- Journal Title
  
  Proc.Japan Acad.Ser.A Math.Sci. 80
  
  Pages : 96-99
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Isolated singularities of sub-polyharmonic functions2004
- Author(s)
  T.Futamura, Y.Mizuta
- Journal Title
  
  Hokkaido Math.J. 33
  
  Pages : 675-695
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Isolated singularities of sub-polyharmonic functions2004
- Author(s)
  T.Futamura, Y.Mizuta
- Journal Title
  
  Hokkaido Math. J. 33
  
  Pages : 675-695
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Minimally fine limits at infinity for ρ-precise functio2004
- Author(s)
  Y.Mizuta, T.Shimomura
- Journal Title
  
  J.Math.Soc.Japan 56
  
  Pages : 1-15
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] On semi-fine limits at infinity for BLD and monotone BLD functions2003
- Author(s)
  Y.Mizuta, T.Shimomura
- Journal Title
  
  Potential Analysis 19
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340046
[Journal Article] On semi-fine limits at infinity for BLD and monotone BLD functions2003
- Author(s)
  Y.Mizuta
- Journal Title
  
  Potential Analysis 19
  
  Pages : 365-381
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340046
[Journal Article] Martin boundary of a fractal domain2003
- Author(s)
  H.Aikawa, T.Lundh, T.Mizutani
- Journal Title
  
  Potential Anal. 18
  
  Pages : 311-357
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Lindelof theorems for monotone Sobolev functions2003
- Author(s)
  T.Futamura, Y.Mizuta
- Journal Title
  
  Acad. Sci. Fenn. Ser. A. I. Math. 28
  
  Pages : 271-277
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in R^n
- Author(s)
  Yoshihiro Mizuta, Eiichi Nakai, Takao Ohno and Tetsu Shimomura
- Journal Title
  
  Revista Matematica Complutense
  
  Volume : (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Sobolev's inequality for Riesz potentials of functions in Morrey spaces of integral form
- Author(s)
  Y. Mizuta, and T. Shimomura
- Journal Title
  
  to appear in Math. Nachr.
- Data Source
  KAKENHI-PROJECT-17340039
[Journal Article] Continuity properties for Riesz potentials of functions in Morrey spaces of variable exponent
- Author(s)
  Y. Mizuta, and T. Shimomura
- Journal Title
  
  to appear in Math. Inequal. Appl.
- Data Source
  KAKENHI-PROJECT-17340039
[Journal Article] Maximal functions、Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in $\R^n$
- Author(s)
  水田義弘、中井英一、大野貴雄、下村哲
- Journal Title
  
  Revista Matematica Complutense 掲載予定
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Hardy's inequality in Orlicz-Sobolev spaces of variable exponent
- Author(s)
  水田義弘、中井英一、大野貴雄、下村哲
- Journal Title
  
  Hokkaido Mathematical Journal 掲載予定
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponent
- Author(s)
  水田義弘、中井英一、大野貴雄、下村哲
- Journal Title
  
  Complex Variables and Elliptic Equations 掲載予定
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Gagliardo-Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces2012
- Author(s)
  水田義弘, 中井英一, 澤野嘉宏, 下村哲
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in $R^<N$>2011
- Author(s)
  水田義弘,中井英一,大野貴雄,下村哲
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  信州大学松本キャンパス
- Year and Date
  2011-09-30
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in $R^N$2011
- Author(s)
  水田義弘, 中井英一, 大野貴雄, 下村哲
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  信州大学松本キャンパス
- Year and Date
  2011-09-30
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Maximal functions in variable exponent Lebesgue spaces2010
- Author(s)
  Y. Mizuta
- Organizer
  Real Analysis Symposium 2010
- Place of Presentation
  Kyushu Instituteof Technology
- Data Source
  KAKENHI-PROJECT-21540183
[Presentation] Hardy's inequality in Orlicz-Sobolev spaces of variable exponent2010
- Author(s)
  水田義弘、中井英一、大野貴雄、下村哲
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-22
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Hardy's inequality in Orlicz-Sobolev spaces of variable exponent2010
- Author(s)
  水田義弘, 中井英一, 大野貴雄, 下村哲
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-22
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Maximal functions in variable exponent Lebesgue spaces2010
- Author(s)
  水田義弘
- Organizer
  実解析学シンポジウム
- Place of Presentation
  九州工業大学
- Year and Date
  2010-11-12
- Data Source
  KAKENHI-PROJECT-22540192
[Presentation] Sobolev' s embeddings for Riesz potential spaces of variable exponents2009
- Author(s)
  Y. Mizuta
- Organizer
  The International Symposium on Banach and Function Spaces 2009
- Place of Presentation
  KyushuInstitute of Technology
- Data Source
  KAKENHI-PROJECT-21540183
[Presentation] Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddingsfor eneralized Riesz potentials2008
- Author(s)
  水田義弘, 中井英一, 大野貴雄, 下村哲
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-26
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Sobolev inequalities for Orlicz spaces of two variable exponents2008
- Author(s)
  水田義弘
- Organizer
  International Conference on Real and Complex Analysis in Sendai(2008)
- Place of Presentation
  Tohoku University
- Data Source
  KAKENHI-PROJECT-19540185
[Presentation] Boundedness of maximal functions in Lebesgue spaces of variable exponent2008
- Author(s)
  水田義弘
- Organizer
  The 16th international conference on finite or infinite dimensional Analysis and applications
- Place of Presentation
  Dongguk University
- Data Source
  KAKENHI-PROJECT-19540185
[Presentation] Continuity properties for Riesz potentials of Orlicz functions2008
- Author(s)
  水田義弘
- Organizer
  IWPT in Tokyo
- Place of Presentation
  Gakusyuin University
- Data Source
  KAKENHI-PROJECT-19540185
[Presentation] Lebesgue point theory for Riesz potentials of Orlicz functions2007
- Author(s)
  水田義弘
- Organizer
  Linkopings
- Year and Date
  2007-08-31
- Data Source
  KAKENHI-PROJECT-19540185
[Presentation] Function spaces of variable exponent2007
- Author(s)
  水田義弘
- Organizer
  Potential Theory and Stochastics
- Place of Presentation
  Albac, Romania
- Data Source
  KAKENHI-PROJECT-19540185
[Presentation] Isolated singularities for polyharmonic functions2007
- Author(s)
  水田義弘
- Organizer
  Finland-Japan joint seminar
- Place of Presentation
  Helsinki
- Data Source
  KAKENHI-PROJECT-19540185

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109. 水田義弘

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MIZUTA Yoshihiro 水田 義広

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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Ongoing

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実解析・調和解析に由来する関数空間の理論の深化と応用Ongoing

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変動指数をもつ関数空間の先端的研究Principal InvestigatorOngoing

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Potential analysis of various function spaces and applicationPrincipal Investigator

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変動指数をもつ関数空間の研究Principal Investigator

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Potential Analysis for Sobolev functionsPrincipal Investigator

MIZUTA Yoshihiro 水田義広