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
DOI: 10.12677/PM.2013.33025, PDF, HTML,    国家科技经费支持
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. 加权Hardy算子交换子在Herz型空间中的中心BMO估计[J]. 理论数学, 2013, 3(3): 169-175. http://dx.doi.org/10.12677/PM.2013.33025

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