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 :湖南大学数学与计量经济学院; 侯宪明 :临沂大学数学系;

关键词: 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

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

Abstract:
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.

文章引用: 龚淑丽 , 侯宪明 (2013) 加权Hardy算子交换子在Herz型空间中的中心BMO估计。 理论数学, 3, 169-175. doi: 10.12677/PM.2013.33025

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