Weighted Sharp Function Estimate and Boundedness for Commutator Associated with Singular Integral Operator with General Kernel

New Zealand Journal of Mathematics (Online)

Lanzhe Liu ; Xiaosha Zhou

关键词: Commutator;    Singular integral operator;    Sharp maximal function;    Morrey space.;   

学科分类：社会科学、人文和艺术（综合）

来源: University of Auckland * Department of Mathematics

【 摘 要 】

In this paper, we establish a weighted sharp maximal function estimate for the commutator associated with the singular integral operator with general kernel. As an application, we obtain the weighted boundedness of the commutators on Lebesgue and Morrey spaces.

【 授权许可】

Unknown