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非双倍测度下Calderón-Zygmund算子交换子在Morrey-Herz空间上的有界性

赵凯 王永刚 王磊

应用数学2012,Vol.25Issue(1):40-46,7.
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

赵凯 1王永刚 1王磊2

作者信息

  • 1. 青岛大学数学科学学院,山东青岛266071
  • 2. 青岛大学师范学院数学系,山东青岛266071
  • 折叠

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)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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