Sharp function estimates and boundedness for commutators associated with general singular integral operator

Journal of inequalities and applications

Jiasheng Zeng¹ 

关键词: commutator;    singular integral operator;    sharp maximal function;    Morrey space;    Triebel-Lizorkin space;   

DOI  :  10.1186/1029-242X-2014-108

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we establish the sharp maximal function estimates for the commutator associated with the singular integral operator with general kernel. As an application, we obtain the boundedness of the commutator on weighted Lebesgue, Morrey, and Triebel-Lizorkin spaces. MSC:42B20, 42B25.

【 授权许可】

CC BY