Weighted sharp function inequalities and boundedness for commutator of Riesz transforms of Schrodinger operator

被引：1

作者：

Yu, Wenxin ^{[1
]}

Wang, Xiangyu ^{[2
]}

机构：

[1] Hunan Univ, Coll Elect & Informat Engn, Changsha 410082, Hunan, Peoples R China

[2] Hunan Univ, Sch Econ & Trade, Changsha 410082, Hunan, Peoples R China

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2014年 / 25卷 / 10期

关键词：

commutator; Riesz transform; Schrodinger operator; sharp maximal function; Morrey space; Triebel-Lizorkin space; weighted Lipschitz function; MORREY SPACES; EQUATIONS;

D O I：

10.1080/10652469.2014.918612

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish the sharp maximal function estimates for the commutator associated with the Riesz transforms of Schrodinger operator. As an application, we obtain the boundedness of the commutator on weighted Lebesgue, Morrey and Triebel-Lizorkin spaces.

引用

页码：765 / 776

页数：12

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