Two-Weight Norm, Poincare, Sobolev and Stein Weiss Inequalities on Morrey Spaces

被引：14

作者：

Ho, Kwok-Pun ^{[1
]}

机构：

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

来源：

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 2017年 / 53卷 / 01期

关键词：

Two-weight norm inequality; Poincare inequality; Sobolev inequality; Stein-Weiss inequality; Hardy inequality; Rellich inequality; Morrey space; singular integral operator; fractional integral operator; SINGULAR INTEGRAL-OPERATORS; DEGENERATE ELLIPTIC-EQUATIONS; FRACTIONAL INTEGRALS; MAXIMAL OPERATORS; WEIGHTED INEQUALITIES; UNIQUE CONTINUATION; VARIABLE EXPONENTS; SHARP; 2-WEIGHT;

D O I：

10.4171/PRIMS/53-1-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish two-weight norm inequalities for singular integral operators and fractional integral operators on Morrey spaces. As a consequence of these inequalities, we obtain two-weight Poincare and Sobolev inequalities on Morrey spaces. Moreover, we also establish the Stein-Weiss inequality, the Hardy inequality and the Rellich inequality on Morrey spaces.

引用

页码：119 / 139

页数：21

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