Maximal functions and potentials in variable exponent Morrey spaces with non-doubling measure

被引：40

作者：

Kokilashvili, Vakhtang ^{[1
,2
]}

Meskhi, Alexander ^{[1
]}

机构：

[1] A Razmadze Math Inst, Dept Math Anal, GE-0193 Tbilisi, Georgia

[2] Int Black Sea Univ, Fac Comp Technol, GE-0131 Tbilisi, Georgia

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2010年 / 55卷 / 8-10期

基金：

美国国家科学基金会;

关键词：

Morrey spaces with variable exponent; fractional integrals; maximal operator; non-doubling measure; boundedness; SUFFICIENT CONDITIONS; GENERALIZED LEBESGUE; SOBOLEV EMBEDDINGS; SINGULAR-OPERATORS; BOUNDEDNESS; CONVOLUTION; INEQUALITIES;

D O I：

10.1080/17476930903276068

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The boundedness of modified maximal operators and potentials with variable parameter in variable exponent Morrey spaces with non-doubling measure is established. Moreover, Holder continuity properties for fractional integrals of functions in Morrey spaces with variable exponent defined on non-homogeneous spaces are investigated.

引用

页码：923 / 936

页数：14

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