Compactness for the commutators of multilinear singular integral operators with non-smooth kernels

被引：9

作者：

Bu Rui ^{[1
]}

Chen Jie-cheng ^{[2
]}

机构：

[1] Qingdao Univ Sci & Technol, Dept Math, Qingdao 266061, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2019年 / 34卷 / 01期

基金：

中国国家自然科学基金;

关键词：

singular integral operator; maximal function; weighted norm inequality; commutator; compact operator; WEIGHTED NORM INEQUALITIES; END-POINT REGULARITY; MAXIMAL OPERATOR; SPACES;

D O I：

10.1007/s11766-019-3501-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the behavior for commutators of a class of bilinear singular integral operators associated with non-smooth kernels on the product of weighted Lebesgue spaces is considered. By some new maximal functions to control the commutators of bilinear singular integral operators and CMO(R-n) functions, compactness for the commutators is proved.

引用

页码：55 / 75

页数：21

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