Multilinear Commutators of Sublinear Operators on Triebel-Lizorkin Spaces

被引：0

作者：

Xie Ru-long ^{[1
,2
]}

Shu Li-sheng ^{[3
]}

Zhang Qian-xiang ^{[2
]}

Ji You-qing

机构：

[1] School of Mathematical Sciences, University of Science and Technology of China

[2] Department of Mathematics, Chaohu University

[3] Department of Mathematics, Anhui Normal University

来源：

Communications in Mathematical Research | 2014年 / 30卷 / 02期

关键词：

multilinear commutator; Triebel-Lizorkin space; Littlewood-Paley op-erator; Bochner-Riesz operator;

D O I：

10.13447/j.1674-5647.2014.02.07

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

In this paper, the boundedness of multilinear commutators related to sublinear operators with Lipschitz function on Triebel-Lizorkin spaces is given. As an application, we prove that the multilinear commutators of Littlewood-Paley operator and Bochner-Riesz operator are bounded on Triebel-Lizorkin spaces.

引用

页码：168 / 178

页数：11

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