Stein-Weiss inequalities for radial local Morrey spaces

被引：9

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：

PORTUGALIAE MATHEMATICA | 2019年 / 76卷 / 3-4期

关键词：

Stein-Weiss inequalities; fractional integral operators; local Morrey spaces; FRACTIONAL INTEGRAL-OPERATORS; NORM INEQUALITIES; SUFFICIENT CONDITIONS; UNIQUE CONTINUATION; MAXIMAL OPERATOR; 2-WEIGHT NORM; BOUNDEDNESS; SOBOLEV; COMMUTATORS; POTENTIALS;

D O I：

10.4171/PM/2037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper establishes a generalization of the celebrated Stein-Weiss inequalities for the fractional integral operators on radial functions in local Morrey spaces. We find that some conditions can be relaxed for the Stein-Weiss inequalities on radial local Morrey spaces.

引用

页码：301 / 310

页数：10

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