Articles

COMPACT COMPOSITION OPERATORS ON GENERALIZED LIPSCHITZ SPACES

  • DAI Ji-Neng ,
  • OUYANG Cai-Heng
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  • 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 date: 2009-09-23

  Online 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.

Cite this article

DAI Ji-Neng , OUYANG Cai-Heng . COMPACT COMPOSITION OPERATORS ON GENERALIZED LIPSCHITZ SPACES[J]. Acta mathematica scientia, Series B, 2011 , 31(4) : 1347 -1356 . DOI: 10.1016/S0252-9602(11)60321-4

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