非齐度量测度空间上Morrey-Herz空间上的广义分数次积分算子及其交换子  

Generalized Fractional Integral Operator and Its Commutator on Morrey-Herz Spaces with Non-homogeneous Metric Measure

作　　者：尚钦明[1] 赵凯 SHANG Qin-ming;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：《数学的实践与认识》2020年第6期237-243,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11471176)。

摘　　要：设(χ,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,对于引进的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,证明了广义分数次积分算子及其交换子在非齐度量测度空间上MorreyHerz空间的有界性.Let(χ,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,the boundedness of generalized fractional integral operator and its commutator 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 分数次积分算子 交换子 有界性 

分 类 号：O177.6[理学—数学]