Boundedness of some maximal commutators in Hardy-type spaces with non-doubling measures

被引:6
作者
Hu, Guo En
Meng, Yan
Yang, Da Chun [1 ]
机构
[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[2] Renmin Univ China, Sch Informat, Beijing 100872, Peoples R China
[3] Univ Informat Engn, Dept Appl Math, Zhengzhou 450002, Peoples R China
关键词
maximal commutator; Calderon-Zygmund operator; RBMO(mu); Hardy-type space; non-doubling measure;
D O I
10.1007/s10114-007-0938-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let mu 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 Calderon-Zygmund operators and maximal commutators which are variants of the usual maximal commutators generated by Calderon-Zygmund operators and RBMO(mu) functions, where the Hardytype spaces are some appropriate subspaces, associated with the considered RBMO(mu) functions, of the Hardy space H-1(mu) of Tolsa.
引用
收藏
页码:1129 / 1148
页数:20
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