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.
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页码：205 / 214
页数：10
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