Sobolev embeddings for Riesz potentials of functions in grand Morrey spaces of variable exponents over non-doubling measure spaces

被引：0

作者：

Takao Ohno

Tetsu Shimomura

机构：

[1] Oita University,Faculty of Education and Welfare Science

[2] Hiroshima University,Department of Mathematics, Graduate School of Education

来源：

Czechoslovak Mathematical Journal | 2014年 / 64卷

关键词：

grand Morrey space; variable exponent; non-doubling measure; metric measure space; Riesz potential; maximal operator; Sobolev’s inequality; Trudinger’s exponential inequality; continuity; 31B15; 46E35;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Our aim in this paper is to deal with the boundedness of the Hardy-Littlewood maximal operator on grand Morrey spaces of variable exponents over non-doubling measure spaces. As an application of the boundedness of the maximal operator, we establish Sobolev’s inequality for Riesz potentials of functions in grand Morrey spaces of variable exponents over non-doubling measure spaces. We are also concerned with Trudinger’s inequality and the continuity for Riesz potentials.

引用

页码：209 / 228

页数：19

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