SOBOLEV'S INEQUALITY FOR RIESZ POTENTIALS OF FUNCTIONS IN NON-DOUBLING MORREY SPACES

被引：0

作者：

Mizuta, Yoshihiro ^{[1
]}

Shimomura, Tetsu ^{[2
]}

Sobukawa, Takuya ^{[3
]}

机构：

[1] Hiroshima Univ, Grad Sch Sci, Dept Math, Higashihiroshima 7398521, Japan

[2] Hiroshima Univ, Grad Sch Educ, Dept Math, Higashihiroshima 7398524, Japan

[3] Okayama Univ, Fac Educ, Dept Math Educ, Tsushima 7008530, Japan

来源：

OSAKA JOURNAL OF MATHEMATICS | 2009年 / 46卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our aim in this paper is to give Sobolev's inequality and Trudinger exponential integrability for Riesz potentials of functions in non-doubling Morrey spaces.

引用

页码：255 / 271

页数：17

共 50 条

[41] Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in Rn
Mizuta, Yoshihiro
Nakai, Eiichi
Ohno, Takao
Shimomura, Tetsu
REVISTA MATEMATICA COMPLUTENSE, 2012, 25 (02): : 413 - 434
[42] Multilinear commutators of fractional integrals over Morrey spaces with non-doubling measures
Tao, Xiangxing
Zheng, Taotao
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2011, 18 (03): : 287 - 308
[43] Multilinear commutators of fractional integrals over Morrey spaces with non-doubling measures
Xiangxing Tao
Taotao Zheng
Nonlinear Differential Equations and Applications NoDEA, 2011, 18 : 287 - 308
[44] Trudinger's exponential integrability for Riesz potentials of functions in generalized grand Morrey spaces
Mizuta, Yoshihiro
Ohno, Takao
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 420 (01) : 268 - 278
[45] Hardy–Sobolev Inequalities For Riesz Potentials Of Functions In Orlicz Spaces
Y. Mizuta
T. Shimomura
Acta Mathematica Hungarica, 2023, 171 (2) : 221 - 240
[46] Riesz transforms on a class of non-doubling manifolds
Hassell, Andrew
Sikora, Adam
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2019, 44 (11) : 1072 - 1099
[47] CONTINUITY PROPERTIES FOR RIESZ POTENTIALS OF FUNCTIONS IN MORREY SPACES OF VARIABLE EXPONENT
Mizuta, Yoshihiro
Shimomura, Tetsu
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2010, 13 (01): : 99 - 122
[48] Hardy-Sobolev inequality for Sobolev functions in central Herz-Morrey spaces
Mizuta, Yoshihiro
Shimomura, Tetsu
MATHEMATISCHE NACHRICHTEN, 2021, 294 (06) : 1148 - 1159
[49] Trudinger's inequality and continuity for Riesz potentials of functions in grand Musielak-Orlicz-Morrey spaces over nondoubling metric measure spaces
Ohno, Takao
Shimomura, Tetsu
KYOTO JOURNAL OF MATHEMATICS, 2016, 56 (03) : 633 - 653
[50] Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials
Mizuta, Yoshihiro
Nakai, Eiichi
Ohno, Takao
Shimomura, Tetsu
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2010, 62 (03) : 707 - 744

← 1 2 3 4 5 →