Boundedness for the Singular Integral with Variable Kernel and Fractional Differentiation on Weighted Morrey Spaces

被引：1

作者：

Chao Xue ^{[1
]}

Kai Zhu ^{[2
]}

Yanping Chen ^{[1
]}

机构：

[1] Department of Applied Mathematics, University of Science and Technology Beijing

[2] School of Mathematical Sciences, Beijing Normal University

来源：

Analysis in Theory and Applications | 2016年 / 32卷 / 03期

基金：

中央高校基本科研业务费专项资金资助;

关键词：

Singular integral; variable kernel; fractional differentiation; BMO Sobolev space; weighted Morrey spaces;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

Let T be the singular integral operator with variable kernel, T*be the adjoint of T and T;be the pseudo-adjoint of T. Let T;T;be the product of T;and T;, T;? T;be the pseudo product of T;and T;. In this paper, we establish the boundedness for commutators of these operators and the fractional differentiation operator Dγon the weighted Morrey spaces.

引用

页码：205 / 214

页数：10

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