Stein-Weiss inequalities on local Morrey spaces with variable exponents

被引：0
|
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
收藏
页码：399 / 413
页数：15
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