| 分数次Hardy算子的交换子在齐次Morrey--Herz空间上的有界性 |
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| 引用本文： | 刘军,冯进喜.分数次Hardy算子的交换子在齐次Morrey--Herz空间上的有界性[J].兰州工业高等专科学校学报,2008,15(4):21-23. |
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| 作者姓名： | 刘军 冯进喜 |
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| 作者单位： | 1. 西北师范大学,数学与信息科学学院,甘肃,兰州,730070;兰州工业高等专科学校,基础科学部,甘肃,兰州,730050
2. 西北师范大学,数学与信息科学学院,甘肃,兰州,730070 |
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| 摘 要： | 先介绍了经典的分数次Hardy算子及交换子的概念，然后再结合齐次Morrey—Herz空间的定义．得到类分数次Hardy算子和单侧二进CMO函数所生成的交换子在齐次Morrey—Herz空间上一些有界性结果．
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| 关 键 词： | 分数次Hardy算子 交换子 齐次Morrey--herz空间 单侧二进CMO函数 |
Boundedness for Commutators of Fractional Hardy Operators On Homogeneous Morrey-Herz Spaces |
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| LIU Jun,FENG Jin-xi.Boundedness for Commutators of Fractional Hardy Operators On Homogeneous Morrey-Herz Spaces[J].Journal of Lanzhou Higher Polytechnical College,2008,15(4):21-23. |
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| Authors: | LIU Jun FENG Jin-xi |
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| Affiliation: | LIU Jun, FENG Jin-- xi (1. College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China; 2. Basic Courses Department of Lanzhou Polytechnic College,Lanzhou 730050,China) |
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| Abstract: | In this paper the concept of classical fractional Hardy operators and commutators are introduced firstly. Then according to the definition of homogeneous Morrey--Herz spaces,some boundedness results are established for the commutators generated by the fractional Hardy operators and one--sided dyadic CMO functions on homogeneous Morrey--Hera spaces. |
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| Keywords: | fractional Hardy operators commutators homogeneous Morrey-- Herz spaces one--sided dy-adic CMO function |
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