| 非齐度量测度Morrey-Herz空间上的Marcinkiewicz积分算子及其交换子 |
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| 引用本文： | 宋福杰,赵凯.非齐度量测度Morrey-Herz空间上的Marcinkiewicz积分算子及其交换子[J].吉林大学学报(理学版),2020,58(2):219-224. |
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| 作者姓名： | 宋福杰 赵凯 |
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| 作者单位： | 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 |
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| 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Lp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.
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| 关 键 词： | 非齐度量测度空间 Morrey Herz空间 Marcinkiewicz积分 交换子 有界性 |
| 收稿时间： | 2019-08-02 |
Marcinkiewicz Integral Operator and Its CommutatoronMorrey-Herz Spaces with Non homogeneous Metric Measure#br# |
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| SONG Fujie,ZHAO Kai.Marcinkiewicz Integral Operator and Its CommutatoronMorrey-Herz Spaces with Non homogeneous Metric Measure#br#[J].Journal of Jilin University: Sci Ed,2020,58(2):219-224. |
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| Authors: | SONG Fujie ZHAO Kai |
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| Institution: | 1. Department of Mathematics and Physics, Qingdao Huanghai University, Qingdao 266427, Shandong Province,China;
2. School of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong Province, China
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| Abstract: | 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 Lp spaces, we proved the boundedness of the Marcinkiewiczintegral operator and its commutator generated by RBMO function on the Morrey-Herz spaces with non homogeneous metric measure. |
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| Keywords: | non-homogeneous metric measure space Morrey Herz space Marcinkiewicz integral commutator boundedness |
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