Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (6): 1634-1641.

• Articles • Previous Articles     Next Articles

Composition Operators Between H and Generally Weighted Bloch Spaces in Polydisk

  

  1. College of Mathematics and Information Science, Henan Normal University, Henan Xinxiang 453007
  • Received:2007-12-25 Revised:2008-12-18 Online:2009-12-25 Published:2009-12-25
  • Supported by:

    国家自然科学基金(10671147), 教育部科学技术研究重点项目(208081)和河南省自然科学基金(2008110006)资助

Abstract:

Let φ be a holomorphic self-map of the open unit polydisk Un in Cn and α > 0. In this article, the boundedness and compactness of composition operator Cφ between H and generally weighted Bloch space Bαlog in polydisk are investigated.

Key words: Holomorphic self-map, Composition operator, Generally weighted Bloch space

CLC Number: 

  • 47B38
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