| 极大算子交换子在各向异性Morrey-Herz空间上的有界性 |
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| 引用本文： | 赵凯,张荣欣,任晓芳.极大算子交换子在各向异性Morrey-Herz空间上的有界性[J].应用数学,2011,24(1). |
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| 作者姓名： | 赵凯 张荣欣 任晓芳 |
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| 作者单位： | 1. 青岛大学数学科学学院,山东,青岛,266071
2. 青岛大学师范学院数学系,山东,青岛,266071 |
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| 基金项目： | Supported by the NNSF-China Grant (10671115); the NSF of Shandong Province(ZR2010AM032) |
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| 摘 要： | 本文引进了伴随伸缩矩阵A的各向异性齐次Morrey-Herz型空间,利用Hardy-Littlewod极大算子交换子的Lp有界性,证明了Hardy-Littlewod极大算子交换子在各向异性齐次Morrey-Herz型空间上的有界性,对于分数次Hardy-Littlewod极大算子交换子也得到了类似的结果.
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| 关 键 词： | Hardy-Littlewod极大算子 交换子 各向异性 Morrey-Herz空间 有界性 |
Boundedness of the Commutators of Maximal Operator on Anisotropic Morrey-Herz Spaces |
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| ZHAO Kai,ZHANG Rongxin,REN Xiaofang.Boundedness of the Commutators of Maximal Operator on Anisotropic Morrey-Herz Spaces[J].Mathematica Applicata,2011,24(1). |
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| Authors: | ZHAO Kai ZHANG Rongxin REN Xiaofang |
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| Institution: | ZHAO Kai1,ZHANG Rongxin1,REN Xiaofang2(1.College of Mathematics,Qingdao University,Qingdao 266071,China,2.Dept of Math.,Qingdao University Teachers College,China) |
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| Abstract: | In this paper,the anisotropic Morrey-Herz type spaces associated with a nonisotropic dilation A on Rn are introduced.Using the Lp boundedness and properties of the Hardy-Littlewood maximal operator,the boundedness of the commutators of the Hardy-Littlewood maximal operator on the homogeneous anisotropic Morrey-Herz type spaces is proved.The similar result is hold for the commutators of fractional maximal operator. |
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| Keywords: | Hardy-Littewood maximal operator Commutator Anisotropic Morrey-Herz space Boundedness |
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