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Composition Operators on α-Bloch Spaces of the Unit Ball
引用本文:Min Zhu ZHANG Wen XU. Composition Operators on α-Bloch Spaces of the Unit Ball[J]. 数学学报(英文版), 2007, 23(11): 1991-2002. DOI: 10.1007/s10114-007-0993-x
作者姓名:Min Zhu ZHANG Wen XU
作者单位:[1]Department of Mathematics, Nanjing Normal University, Nanjing 210097, P. R. China [2]Department of Mathematics, Southeast University, Nanjing 210096, P. R. China [3]Department of Physics and Mathematics, University of Joensuu, Fin-80101, Joensuu Finland
基金项目:The research of the first author is supported by the National Science Foundation of China (Grant No. 10471065);Acknowledgements The authors would like to thank Huaihui Chen for his careful and patient guidance.
摘    要:The authors characterize the boundedness and compactness of composition operators between α-Bloch spaces of the unit ball.

关 键 词:α-布洛赫空间 合成算子 单位球体 数学分析
收稿时间:2005-09-16
修稿时间:2005-09-16

Composition Operators on α-Bloch Spaces of the Unit Ball
Min Zhu Zhang,Wen Xu. Composition Operators on α-Bloch Spaces of the Unit Ball[J]. Acta Mathematica Sinica(English Series), 2007, 23(11): 1991-2002. DOI: 10.1007/s10114-007-0993-x
Authors:Min Zhu Zhang  Wen Xu
Affiliation:(1) Department of Mathematics, Nanjing Normal University, Nanjing, 210097, P. R. China;(2) Department of Mathematics, Southeast University, Nanjing, 210096, P. R. China;(3) Department of Physics and Mathematics, University of Joensuu, Fin-80101 Joensuu, Finland
Abstract:The authors characterize the boundedness and compactness of composition operators between α-Bloch spaces of the unit ball. The research of the .rst author is supported by the National Science Foundation of China (Grant No. 10471065)
Keywords:α  -Bloch space  composition operator  boundedness  compactness
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