Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (4): 1347-1356.doi: 10.1016/S0252-9602(11)60321-4

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COMPACT COMPOSITION OPERATORS ON GENERALIZED LIPSCHITZ SPACES

 DAI Ji-Neng1,2, OUYANG Cai-Heng2   

  1. 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
  • Received:2009-09-23 Online:2011-07-20 Published:2011-07-20
  • Supported by:

    Supported in part by the National Natural Science Foundation of China (10971219).

Abstract:

In this paper, boundedness and compactness of the composition operator on the generalized Lipschitz spaces  ( > 1) of holomorphic functions in the unit disk are characterized.

Key words: composition operator, Lipschitz space, Bloch-type space, angular derivative

CLC Number: 

  • 47B33
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