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COMPACT COMPOSITION OPERATORS ON GENERALIZED LIPSCHITZ SPACES
Authors:Dai Jineng    Ouyang Caiheng . School of Science  Hubei Province Key Laboratory of Intelligent Robot  Wuhan Institute of Technology  Wuhan   China . Wuhan Institute of Physics    Mathematics  the Chinese Academy of Science  Wuhan   China
Affiliation:Dai Jineng 1,2 Ouyang Caiheng 2 1. School of Science,Hubei Province Key Laboratory of Intelligent Robot,Wuhan Institute of Technology,Wuhan 430074,China 2. Wuhan Institute of Physics and Mathematics,the Chinese Academy of Science,Wuhan 430071,China
Abstract:In this paper, boundedness and compactness of the composition operator on the generalized Lipschitz spacesΛα(α>1) of holomorphic functions in the unit disk are characterized.
Keywords:composition operator  Lipschitz space  Bloch-type space  angular derivative  
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