Boundedness of Some Maximal Commutators in Hardy-type Spaces with Non-doubling Measures  

作　　者：Guo En HU Yan MENG Da Chun YANG 

机构地区：[1]Department of Applied Mathematics, University of Information Engineering, P. O. Box 1001-747, Zhengzhou 450002, P. R. China [2]School of Information, Renmin University of China, Beijing 100872, P. R. China [3]School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2007年第6期1129-1148,共20页数学学报（英文版）

基　　金：Program for New Century Excellent Talents in University(NCET-04-0142)of China

摘　　要：Let μ be a non-negative Radon measure on R^d which satisfies only some growth conditions. Under this assumption, the boundedness in some Hardy-type spaces is established for a class of maximal Calderón-Zygmund operators and maximal commutators which are variants of the usual maximal commutators generated by Calder6ón- Zygmund operators and RBMO（μ） functions, where the Hardytype spaces are some appropriate subspaces, associated with the considered RBMO（μ） functions, of the Hardv soace H^I（μ） of Tolsa.Let μ be a non-negative Radon measure on R^d which satisfies only some growth conditions. Under this assumption, the boundedness in some Hardy-type spaces is established for a class of maximal Calderón-Zygmund operators and maximal commutators which are variants of the usual maximal commutators generated by Calder6ón- Zygmund operators and RBMO（μ） functions, where the Hardytype spaces are some appropriate subspaces, associated with the considered RBMO（μ） functions, of the Hardv soace H^I（μ） of Tolsa.

关 键 词：maximal commutator Calderon Zygmund operator RBMO（μ） Hardy-type space non-doubling measure 

分 类 号：O177[理学—数学]