非齐度量测度Morrey空间上的Marcinkiewicz积分算子及其交换子的有界性  

Boundedness of Both Marcinkiewicz Integral Operators and Its Commutators on Morrey Spaces with Non-homogeneous Metric Measure

作　　者：吴翠兰 束立生 WU Cuilan;SHU Lisheng(School of Mathematics and Statistics,Jiangsu Normal University,Xuzhou 221116,Jiangsu;School of Mathematics and Statistics,Anhui Normal University,Wuhu 241003,Anhui)

机构地区：[1]江苏师范大学数学与统计学院,江苏徐州221116 [2]安徽师范大学数学与统计学院,安徽芜湖241003

出　　处：《四川师范大学学报（自然科学版）》2023年第3期346-351,共6页Journal of Sichuan Normal University（Natural Science）

基　　金：江苏省自然科学基金(SBK20161158)。

摘　　要：设(X,d,μ)是一个满足上双倍条件和几何双倍条件的非齐度量测度空间.利用非齐度量测度空间的性质和不等式技巧,借助Marcinkiewicz积分算子在L^(p)空间上的有界性理论,得到Marcinkiewicz积分算子及其与RBMO(μ)函数,Lipschitz函数生成的交换子在非齐度量测度Morrey空间上的有界性.Let(X,d,u)be a non-homogeneous metric measure space,satisfying both the geometrical doubling and the upper doubling conditions.In this paper,by using the properties of non-homogeneous metric measure spaces and the inequality technique,applying the theory of boundedness for Marcinkiewicz integral operators on the L^(p) spaces,the authors obtained that Marcinkiewicz integral operators and its commutators generated by RBMO functions and Lipschitz functions are bounded on Morrey spaces with non-homogene-ous metric measure.

关 键 词：非齐度量测度空间 MORREY空间 MARCINKIEWICZ积分算子 交换子 

分 类 号：O174.2[理学—数学]