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F. Y. Zhao, Z. W. Fu and S. Z. Lu. Endpoint estimates for n-dimensional Hardy operators and their commutators. Science China Mathematics, 2012, 55(10): 1977-1990.

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• 标题: 加权Hardy算子交换子在Herz型空间中的中心BMO估计Central BMO Estimates for Commutators of Weighted Hardy Operators on Herz Type Spaces

  作者: 龚淑丽, 侯宪明

  关键字: 加权Hardy算子, 交换子, 中心BMO空间, Herz型空间 Weighted Hardy Operator; Commutator; Central BMO Space; Herz Type Space

  期刊名称: 《Pure Mathematics》, Vol.3 No.3, 2013-05-16

  摘要: 给出了一个关于权函数满足的充分条件，该条件使得加权Hardy算子与中心BMO函数生成的交换子在Herz型空间中有界。进一步地，将所得结论推广到了k阶的情形。In this paper, we present sufficient conditions on weighted function which ensures the boundedness of commutators generated by weighted Hardy operators and central BMO functions on Herz spaces and Morrey-Herz spaces, respectively. Moreover, the corresponding results are extended to the case of k-th order.