CONTINUITY PROPERTIES FOR RIESZ POTENTIALS OF FUNCTIONS IN MORREY SPACES OF VARIABLE EXPONENT

被引：21

作者：

Mizuta, Yoshihiro ^{[1
]}

Shimomura, Tetsu ^{[2
]}

机构：

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

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

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2010年 / 13卷 / 01期

关键词：

Continuity of Riesz potentials; Sobolev's embedding theorem; Morrey spaces of variable exponent; SOBOLEV EMBEDDINGS;

D O I：

10.7153/mia-13-08

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our aim in this paper is to deal with continuity properties for Riesz potentials of functions in Morrey spaces of variable exponent. The modulus of continuity is determined by the structure of Morrey space.

引用

页码：99 / 122

页数：24

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