WEIGHTED ESTIMATES FOR COMMUTATORS OF OPERATORS CALDERÓN-ZYGMUNDWITH NON-DOUBLING MEASURES

doi:10.1016/S0252-9602(10)60017-3

数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (1): 1-18.doi: 10.1016/S0252-9602(10)60017-3

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WEIGHTED ESTIMATES FOR COMMUTATORS OF OPERATORS CALDERÓN-ZYGMUNDWITH NON-DOUBLING MEASURES

林海波, 孟岩, 杨大春

School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China

收稿日期:2008-08-12 出版日期:2010-01-20 发布日期:2010-01-20

WEIGHTED ESTIMATES FOR COMMUTATORS OF OPERATORS CALDERÓN-ZYGMUNDWITH NON-DOUBLING MEASURES

LIN Hai-Bo, MENG Yan, YANG Da-Chun

School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China

Received:2008-08-12 Online:2010-01-20 Published:2010-01-20

摘要/Abstract

摘要：

Let μ be a nonnegative Radon measure on R^d, which only satisfies the polynomial growth condition. Under this assumption, the authors obtain some weighted weak-type estimates for the commutators generated by the multilinear Calder\'on-Zygmund operators and RBMO(μ) functions.

关键词: non-doubling measure, commutator, multilinear Calderon-Zygmund operator, RBMO(μ), weight

中图分类号:

42B20

林海波, 孟岩, 杨大春. WEIGHTED ESTIMATES FOR COMMUTATORS OF OPERATORS CALDERÓN-ZYGMUNDWITH NON-DOUBLING MEASURES[J]. 数学物理学报(英文版), 2010, 30(1): 1-18.

LIN Hai-Bo, MENG Yan, YANG Da-Chun. WEIGHTED ESTIMATES FOR COMMUTATORS OF OPERATORS CALDERÓN-ZYGMUNDWITH NON-DOUBLING MEASURES[J]. Acta mathematica scientia,Series B, 2010, 30(1): 1-18.

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WEIGHTED ESTIMATES FOR COMMUTATORS OF OPERATORS CALDERÓN-ZYGMUNDWITH NON-DOUBLING MEASURES

WEIGHTED ESTIMATES FOR COMMUTATORS OF OPERATORS CALDERÓN-ZYGMUNDWITH NON-DOUBLING MEASURES

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