非齐度量测度空间上Morrey-Herz空间上的Calderon-Zygmund算子及其交换子  

Calderon-Zygmund Operators and Commutators on Morrey-Herz Spaces with Non-Homogeneous Metric Measure

作　　者：宋云超[1] 赵凯 SONG Yunchao;ZHAO Kai(Department of Mathematics and Physics,Qingdao Huanghai University,Qingdao 266427,China;School of Mathematics and Statistics,Qingdao University,Qingdao 266071,China)

机构地区：[1]青岛黄海学院数理教学部,山东青岛266427 [2]青岛大学数学与统计学院,山东青岛266071

出　　处：《应用数学》2020年第3期681-689,共9页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11471176)。

摘　　要：设(X,d,μ)是一个同时满足上双倍条件和几何双倍条件的非齐度量测度空间,本文中,引进一类非齐度量测度空间上的Morrey-Herz空间,利用非齐度量测度空间的特征,特别是η-弱逆倍条件,证明Calderon-Zygmund算子及其交换子在Morrey-Herz空间上的有界性.Let(X,d,μ)be a non-homogeneous metric measure space satisfying both the geometrically doubling and the upper doubling conditions.In this paper,the Morrey-Herz spaces on the non-homogeneous metric measure space are introduced.Then,by the properties of the non-homogeneous metric measure space,in particular theη-weak reverse doubling condition,the boundedness of Calderon-Zygmund operators and their commutators on the Morrey-Herz spaces with non-homogeneous metric measure is obtained.

关 键 词：非齐度量测度空间 MORREY-HERZ空间 CALDERON-ZYGMUND算子 交换子 有界性 

分 类 号：O174.2[理学—数学]