| 变量核Marcinkiewicz积分在变指标Herz-Morrey空间上的加权估计 |
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| 引用本文： | 陶双平,师金利.变量核Marcinkiewicz积分在变指标Herz-Morrey空间上的加权估计[J].吉林大学学报(理学版),2019,57(3):459-464. |
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| 作者姓名： | 陶双平 师金利 |
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| 作者单位： | 西北师范大学 数学与统计学院,兰州,730070;西北师范大学 数学与统计学院,兰州,730070 |
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| 摘 要： | 利用函数分层分解和权不等式等工具, 借助变指标Lebesgue空间上的加权有界性, 证明变量核的Marcinkiewicz积分算子在加权变指标Herz-Morrey空间上的有界性.
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| 关 键 词： | 变量核 Marcinkiewicz积分 变指标 Herz-Morrey空间 Ap(·)权 |
| 收稿时间： | 2018-12-17 |
Weighted Estimates of Marcinkiewicz Integral withVariable Kernel on Variable Exponent Herz Morrey Spaces |
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| TAO Shuangping,SHI Jinli.Weighted Estimates of Marcinkiewicz Integral withVariable Kernel on Variable Exponent Herz Morrey Spaces[J].Journal of Jilin University: Sci Ed,2019,57(3):459-464. |
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| Authors: | TAO Shuangping SHI Jinli |
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| Institution: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | By using hierarchical decomposition of function and theweighted inequalities, and by means of the weight boundedness on variable exponent Lebesgue spaces, we proved the boundedness of Marcinkiewicz integral operators with variable kernel on the weighted variable exponent Herz Morrey spaces. |
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| Keywords: | variable kernel Marcinkiewicz integral variable exponent Herz Morrey space Ap(·) weight
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