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加权Hardy 算子交换子在Herz 型空间中的中心
Pure Mathematics 理论数学, 2013, 3, 169-175
doi:10.12677/pm.2013.33025 Published Online May 2013 (/journal/pm.html)
Central BMO Estimates for Commutators of Weighted
Hardy Operators on Herz Type Spaces
1 2,3 2
Shuli Gong , Xianming Hou , Zunwei Fu
1College of Mathematics and Econometrics, Hunan University, Changsha
2Department of Mathematics, Linyi University, Linyi
3School of Mathematical Sciences, Shandong Normal University, Jinan
Email: gongshuli123@163.com, houxianming37@163.com, zwfu@
th th st
Received: Feb. 25 , 2013; revised: Mar. 12 , 2013; accepted: Mar. 21 , 2013
Copyright © 2013 Shuli Gong et al. This is an open access article distributed under the Creative Commons Attribution License, which
permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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 Mor-
rey-Herz spaces, respectively. Moreover, the corresponding results are extended to the case of k-th order.
Keywords: Weighted Hardy Operator; Commutator; Central BMO Space; Herz Type Space
加权 Hardy 算子交换子在 Herz 型空间中的中心
BMO 估计
1 2,3 2
龚淑丽 ,侯宪明 ,傅尊伟
1 湖南大学数学与计量经济
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