Commutators of the Hardy-Littlewood Maximal Operator with BMO Symbols on Spaces of Homogeneous Type-Reference-Cited by-同舟云学术

Commutators of the Hardy-Littlewood Maximal Operator with BMO Symbols on Spaces of Homogeneous Type

Published:2008 Issue: Volume:2008 Page:1-21
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Hu Guoen¹,Lin Haibo²,Yang Dachun²

Affiliation:

1. Department of Applied Mathematics, University of Information Engineering, P.O. Box 1001-747 Zhengzhou 450002, China

2. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China

Abstract

WeightedLpforp∈(1,∞)and weak-type endpoint estimates with general weights are established for commutators of the Hardy-Littlewood maximal operator with BMO symbols on spaces of homogeneous type. As an application, a weighted weak-type endpoint estimate is proved for maximal operators associated with commutators of singular integral operators with BMO symbols on spaces of homogeneous type. All results with no weight on spaces of homogeneous type are also new.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2008/237937.pdf

Reference20 articles.

1. Lecture Notes in Mathematics,1971

2. Lipschitz functions on spaces of homogeneous type

3. An end point estimate for maximal commutators