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-  2017 

分数次Hardy算子交换子在变指数空间的加权有界性
Boundedness of commutators of the fractional Hardy operators on weighted spaces with variable exponent

DOI: 10.6040/j.issn.1671-9352.0.2017.006

Keywords: 交换子,Lipschitz函数,变指数Herz-Morrey空间,Muckenhoupt权,分数次Hardy算子,
commutator
,fractional Hardy operator,Lipschitz function,Herz-Morrey space with variable exponent,Muckenhoupt weight

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Abstract:

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。
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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