Abstract and Applied Analysis
Volume 2008 (2008), Article ID 237937, 21 pages
doi:10.1155/2008/237937
Commutators of the Hardy-Littlewood maximal operator with BMO symbols on spaces of homogeneous type
Guoen Hu1
, Haibo Lin2
and Dachun Yang2
1Department of Applied Mathematics, University of Information Engineering, P.O. Box 1001-747 Zhengzhou 450002, China
2School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China
Abstract
Weighted Lp for p∈(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.