Acta mathematica scientia,Series A

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Composition Operators from Spaces F(p,q,s) to Bloch

Zhang Xuejun; Liu Jingcheng   

  1. College of Mathematics and Computer Science, Hunan Normal University, Changsha 410006
  • Received:2005-04-06 Revised:2006-03-30 Online:2007-02-25 Published:2007-02-25
  • Contact: Zhang Xuejun

Abstract: In this paper, some sufficient and necessary conditions are given for the composition operator C_{varphi} to be a bounded or compact operator from the space F(p, q, s) to the space βα on B. At the same time, as corollaries, some corresponding results between Bloch type spaces are obtained.

Key words: Boundedness, Compactness, Composition operator, Unit ball

CLC Number: 

  • 47B38
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