Commutators of the Hardy-Littlewood Maximal Operator with BMO Symbols on Spaces of Homogeneous Type
Guoen Hu, Haibo Lin, and Dachun Yang
Source: Abstr. Appl. Anal. Volume 2008 (2008), 21 pages.
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.
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Permanent link to this document: http://projecteuclid.org/euclid.aaa/1220969151
Digital Object Identifier: doi:10.1155/2008/237937
Mathematical Reviews number (MathSciNet):
MR2393116
Zentralblatt MATH identifier:
05313169
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Abstract and Applied Analysis
