非齐度量测度Morrey-Herz空间上的Marcinkiewicz积分算子及其交换子  

Marcinkiewicz Integral Operator and Its Commutator onMorrey-Herz Spaces with Non-homogeneous Metric Measure

作　　者：宋福杰 赵凯 SONG Fujie;ZHAO Kai(Department of Mathematics and Physics,Qingdao Huanghai University,Qingdao 266427,Shandong Province,China;School of Mathematics and Statistics,Qingdao University,Qingdao 266071,Shandong Province,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：《吉林大学学报（理学版）》2020年第2期219-224,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11471176).

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,对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性质,并借助奇异积分算子在L^p空间上的有界性理论,证明Marcinkiewicz积分算子及其与RBMO函数生成的交换子在非齐度量测度Morrey-Herz空间上的有界性.Let(X,d,μ)be a non-homogeneous metric measure space satisfying the upper doubling and the geometrically doubling conditions.For a class of Morrey-Herz spaces on the non-homogeneous metric measure spaces,by using the properties of the non-homogeneous metric measure spaces and the theory of boundedness for singular integral operators on the L^p spaces,we proved the boundedness of the Marcinkiewicz integral operator and its commutator generated by RBMO function on the Morrey-Herz spaces with non-homogeneous metric measure.

关 键 词：非齐度量测度空间 MORREY-HERZ空间 MARCINKIEWICZ积分 交换子 有界性 

分 类 号：O174.2[理学—数学]