应用数学2012,Vol.25Issue(1):40-46,7.
非双倍测度下Calderón-Zygmund算子交换子在Morrey-Herz空间上的有界性
Boundedness of Commutators of Calderón-Zygmund Operator on Morrey-Herz Spaces for Non-doubling Measures
摘要
Abstract
The boundedness of commutators defined by Calderón-Zygmund operator and RBMO (μ) function with non-doubling measures is discussed.By the method of Soria,using the characterization of Morrey-Herz spaces and the characteristic of the RBMO functions enjoying with the classical BMO,and the properties of the coefficient KQ,R on non-doubling measures,the boundedness of the commutators of Calderón-Zygmund operator on Morrey-Herz spaces for non-doubling measures is obtained.关键词
交换子/非双倍测度/Morrey-Herz空间/有界性Key words
Commutator/Non-doubling measure/Morrey-Herz space/Boundedness分类
数理科学引用本文复制引用
赵凯,王永刚,王磊..非双倍测度下Calderón-Zygmund算子交换子在Morrey-Herz空间上的有界性[J].应用数学,2012,25(1):40-46,7.基金项目
Supported by the NNSF-China Grant (11041004) and the NSF of Shandong Province (ZR2010AM032) (11041004)