## Abstract and Applied Analysis

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

#### Abstract

Weighted ${L}^{p}$ for $p\in{}(1,\infty{})$ 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2008 (2008), Article ID 237937, 21 pages.

Dates
First available in Project Euclid: 9 September 2008

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1220969151

Digital Object Identifier
doi:10.1155/2008/237937

Mathematical Reviews number (MathSciNet)
MR2393116

Zentralblatt MATH identifier
1214.42028

#### Citation

Hu, Guoen; Lin, Haibo; Yang, Dachun. Commutators of the Hardy-Littlewood Maximal Operator with BMO Symbols on Spaces of Homogeneous Type. Abstr. Appl. Anal. 2008 (2008), Article ID 237937, 21 pages. doi:10.1155/2008/237937. https://projecteuclid.org/euclid.aaa/1220969151

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