Weighted Morrey spaces of variable exponent and Riesz potentials

被引：12

作者：

Mizuta, Yoshihiro ^{[1
]}

Shimomura, Tetsu ^{[2
]}

机构：

[1] Hiroshima Inst Technol, Dept Mech Syst Engn, Saeki Ku, Hiroshima 7315193, Japan

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

来源：

MATHEMATISCHE NACHRICHTEN | 2015年 / 288卷 / 8-9期

关键词：

Maximal function; Riesz potentials; Sobolev's inequality; Trudinger's inequality; Morrey spaces of variable exponent; weights; 31B15; 46E30; SOBOLEV EMBEDDINGS; MAXIMAL OPERATOR; GENERALIZED LEBESGUE; NORM INEQUALITIES; BOUNDEDNESS;

D O I：

10.1002/mana.201400032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove weighted inequalities for the Hardy-Littlewood maximal operator on weighted Morrey spaces Lp(),(Rn;) of variable exponent. As an application of the boundedness of the maximal operator, we establish weighted Sobolev's inequality for Riesz potentials. We are also concerned with weighted Trudinger's inequality for Riesz potentials.

引用

页码：984 / 1002

页数：19

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