Boundedness for Multilinear Commutators of Bochner-Riesz Operator

被引：0

作者：

Ru Long XIE1

2.Department of Mathematics

机构：

来源：

Journal of Mathematical Research with Applications | 2011年 / 06期

基金：

中国国家自然科学基金;

关键词：

multilinear commutators; Bochner-Riesz operator; Lipschitz function; BMO space;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

In this paper,the boundedness for the multilinear commutators of Bochner-Riesz operator is considered.We prove that the multilinear commutators generated by Bochner-Riesz operator and Lipschitz function are bounded from Lp(Rn)into ∧˙(β-np)(Rn)and from Lnβ(Rn)into BMO(Rn).

引用

页码：1074 / 1080

页数：7

共 7 条

[1]

Weighted estimates for the multilinear commutators of the Littlewood-Paley operators[J]. XUE QingYing & DING Yong School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China. Science in China(Series A:Mathematics). 2009(09)

[2] SOME ENDPOINT ESTIMATES FOR COMMUTATORS OF θ-TYPE CALDERóN-ZYGMUND OPERATORS [J].

Xiaoli Chen Department of Mathematics Jiangxi Normal University NJiangxi anchang P R China Jie Sun School of Mathematics and Statistics Zhejiang University of Finance and Economics Zhejiang Hangzhou P R China Dongxiang Chen Department of Mathematics Jiangxi Normal University Jiangxi Nanchang P R China .

AnalysisinTheoryandApplications, 2009, 25 (02) :175-181

[3] ON MULTILINEAR COMMUTATORS OF Θ-TYPE CALDERóN-ZYGMUND OPERATORS [J].