| 一类分数次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.一类分数次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,2009,16(1):51-54. |
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| 作者姓名： | 刘军 |
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| 作者单位： | 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 |
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| 摘 要： | 先介绍了一类分数次Hardy算子及交换子的概念，然后再结合齐次Morrey--Herz空间的定义，得到此类分数次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 a Class of Fractional Hardy Operators on Homogeneous Morrey-herz Spaces |
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| LIU Jun.Boundedness for Commutators of a Class of Fractional Hardy Operators on Homogeneous Morrey-herz Spaces[J].Journal of Lanzhou Higher Polytechnical College,2009,16(1):51-54. |
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| Authors: | LIU Jun |
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| Affiliation: | 1.College of Mathematics and Information Science;Northwest Normal University;Lanzhou 730070;China;2.The Basic Courses Department of Lanzhou Polytechnic College;Lanzhou 730050;China |
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| Abstract: | In this paper the concept of a class of fractional Hardy operators are introduced firstly.Then Combining 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-herz spaces. |
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| Keywords: | fractional hardy operators commutators homogeneous Morrey-herz spaces one-sided dyadic CMO function |
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