| p-Adic函数空间上Hardy型算子的多线性交换子估计 |
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| 引用本文： | 宋帆,李亮.p-Adic函数空间上Hardy型算子的多线性交换子估计[J].数学的实践与认识,2021(1):230-238. |
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| 作者姓名： | 宋帆 李亮 |
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| 作者单位： | 1.伊犁师范学院数学与统计学院 |
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| 基金项目： | 新疆自然科学基金(2012211B28);国家自然科学基金(11261055)。 |
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| 摘 要： | 在p-adic域上研究分数次Hardy型算子与CMO(Q_p~n)函数生成的多线性交换子,建立了交换子在Lebesgue空间和Herz空间上的有界性.对Hardy算子的多线性交换子也得到了相应的结果.
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| 关 键 词： | 分数次Hardy算子 p-adic空间 多线性交换子 CMO(Q_p~n)函数 |
Estimates for Multilinear Commutators of Hardy-type Operators on p-Adic Function Spaces |
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| SONG Fan,LI Liang.Estimates for Multilinear Commutators of Hardy-type Operators on p-Adic Function Spaces[J].Mathematics in Practice and Theory,2021(1):230-238. |
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| Authors: | SONG Fan LI Liang |
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| Institution: | (School of Mathematics and Statistics,YiLi Normal University,Yining 835000,China) |
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| Abstract: | In this paper,the multilinear commutator generated by fractional Hardy operator and CMO(Q_p~n)function are studied.The authors established their boundedness on the Lebesgue space and Herz space over p-adic field.Furthermore,the similar results for the commutator of Hardy operator are also considered. |
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| Keywords: | fractional Hardy operator p-adic space multilinear commutator CMO(Q_p~n)function |
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