Sharp maximal function inequalities and boundedness for commutators related to generalized fractional singular integral operators

Journal of inequalities and applications

Guangze Gu¹ 

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

DOI  :  10.1186/1029-242X-2014-211

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, some sharp maximal function inequalities for the commutators related to certain generalized fractional singular integral operators are proved. As an application, we obtain the boundedness of the commutators on Lebesgue, Morrey and Triebel-Lizorkin spaces. MSC:42B20, 42B25.

【 授权许可】

CC BY