Stein-Weiss inequalities on local Morrey spaces with variable exponents

被引：2

作者：

Ho, Kwok-Pun ^{[1
]}

机构：

[1] Educ Univ Hong Kong, Dept Math & Informat Technol, Tai Po, 10 Lo Ping Rd, Hong Kong, Peoples R China

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2024年 / 68卷 / 02期

关键词：

SINGULAR INTEGRAL-OPERATORS; WEIGHT NORM INEQUALITIES; SUFFICIENT CONDITIONS; FRACTIONAL INTEGRALS; MAXIMAL OPERATOR; 2-WEIGHT NORM; BOUNDEDNESS; SOBOLEV;

D O I：

10.1215/00192082-11285728

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper establishes the Stein-Weiss inequalities on local Morrey spaces with variable exponents. It is presented as the boundedness of the fractional integral operators on power -weighted local Morrey spaces with variable exponents with different power weights. As a consequence of the main result, we obtain some Poincar & eacute; inequalities for local Morrey spaces with variable exponents.

引用

页码：399 / 413

页数：15

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