Maximal commutators of BMO functions and singular integral operators with non-smooth kernels on spaces of homogeneous type

被引：28

作者：

Hu, Guoen ^{[2
]}

Yang, Dachun ^{[1
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China

[2] Univ Informat Engn, Dept Appl Math, Zhengzhou 450002, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 354卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Space of homogeneous type; Approximation to the identity; Weight; Norm inequality; Singular integral operator with non-smooth kernel; BMO; Commutator; Cotlar inequality; INEQUALITY;

D O I：

10.1016/j.jmaa.2008.12.066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let x be a space of homogeneous type in the sense of Coifman and Weiss. In this paper, via a new Cotlar type inequality linking commutators and corresponding maximal operators, a weighted L-p(x) estimate with general weights and a weak type endpoint estimate with A(1)(x) weights are established for maximal operators corresponding to commutators of BMO(x) functions and singular integral operators with non-smooth kernels. (c) 2009 Elsevier Inc. All rights reserved.

引用

页码：249 / 262

页数：14

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