Sharp maximal function inequalities and boundedness for Toeplitz type operator associated to singular integral operator with non-smooth kernel

Journal of inequalities and applications

Xiaosha Zhou¹ 

关键词: Toeplitz type operator;    singular integral operator with non-smooth kernel;    sharp maximal function;    Morrey space;    Triebel-Lizorkin space;    BMO;    Lipschitz function;   

DOI  :  10.1186/1029-242X-2014-141

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we establish the sharp maximal function inequalities for the Toeplitz type operator associated to some singular integral operator with non-smooth kernel. As an application, we obtain the boundedness of the operator on Morrey and Triebel-Lizorkin spaces. MSC:42B20, 42B25.

【 授权许可】

CC BY