| 分数次Hardy算子交换子在变指数空间的加权有界性 |
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| 引用本文： | 马小洁,赵凯.分数次Hardy算子交换子在变指数空间的加权有界性[J].山东大学学报(理学版),2017,52(11):106-110. |
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| 作者姓名： | 马小洁 赵凯 |
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| 作者单位： | 青岛大学数学与统计学院, 山东 青岛 266071 |
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| 基金项目： | 国家自然科学基金资助项目(11471176);山东省自然科学基金资助项目(BS2014SF002) |
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| 摘 要： | 利用n维分数次Hardy算子在变指数Lebesgue空间的有界性和Lipschitz函数的性质,以及不等式估计的相关结果,得到了n维分数次Hardy算子与Lipschitz函数生成的交换子在变指数Herz-Morrey空间的加权有界性。
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| 关 键 词： | 交换子 Lipschitz函数 变指数Herz-Morrey空间 Muckenhoupt权 分数次Hardy算子 |
| 收稿时间： | 2017-01-11 |
Boundedness of commutators of the fractional Hardy operators on weighted spaces with variable exponent |
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| MA Xiao-jie,ZHAO Kai.Boundedness of commutators of the fractional Hardy operators on weighted spaces with variable exponent[J].Journal of Shandong University,2017,52(11):106-110. |
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| Authors: | MA Xiao-jie ZHAO Kai |
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| Institution: | School of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China |
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| Abstract: | Based on the boundedness of the n-dimensional fractional Hardy operators on Lebesgue spaces, the properties of Lipschitz functions and the estimates of the classical inequalities, the boundedness of the commutators generated by n-dimensional fractional Hardy operators and Lipschitz functions on weighted Herz-Morrey spaces with variable exponent are obtained. |
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| Keywords: | commutator fractional Hardy operator Lipschitz function Herz-Morrey space with variable exponent Muckenhoupt weight |
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