Compactness of the commutators of homogeneous singular integral operators

被引：0
|
作者：
GUO XiaoLi [1 ]
HU GuoEn [2 ]
机构：
[1] College of Mathematics and Information Science,Zhengzhou University of Light Industry
[2] Department of Applied Mathematics,Zhengzhou Information Science and Technology Institute
来源：
Science China Mathematics | 2015年 / 58卷 / 11期
基金：
中国国家自然科学基金;
关键词：
commutator; homogeneous singular integral operator; compact operator; maximal operator;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
Let TΩ be the singular integral operator with kernel Ω(x)/|x|~n,where Ω is homogeneous of degree zero,integrable and has mean value zero on the unit sphere S.In this paper,by Fourier transform estimates,Littlewood-Paley theory and approximation,the authors prove that if Ω∈L(lnL)~2(S),then the commutator generated by Tand CMO(R~n) function,and the corresponding discrete maximal operator,are compact on L~p(R~n,|x|) for p∈(1,∞) and γ∈(-1,p-1).
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页码：2347 / 2362
页数：16
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