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Continuity of Higher Order Commutators on Certain Hardy Spaces
Authors:Yong Ding  Shan Zhen Lu  Pu Zhang
Institution:(1) Department of Mathematics, Beijing Normal University, Beijing 100875, P.R. China E-mail: dingy@bnu.edu.cn lusz@bnu.edu.cn, CN;(2) Department of Mathematics, Zhejiang University (at Xixi Campus), Hangzhou 310028, P.R. China E-mail: zhpjj@263.net, CN
Abstract:In this paper, the autors study the continuity properties of higher order commutators generated by the homogeneous fractional integral and BMO functions on certain Hardy spaces, weak Hardy spaces and Herz-type Hardy spaces. Received October 13, 2000, Accepted November 29, 2001
Keywords:Fractional integral  Homogeneous kernel  Lr-Dini conditon  Hardy space  Herz-type Hardy space
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