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Composition Operators Between Generally Weighted Bloch Spaces of Polydisk  
 
  Authors: Haiying Li, Peide Liu, Maofa Wang,  
  Keywords: Holomorphic self-map; Composition operator; Bloch space; Generally weighted Bloch space.  
  Date Received: 23/03/07  
  Date Accepted: 26/06/07  
  Subject Codes:

Primary 47B38.

  
  Editors: Sever S. Dragomir,  
 
  Abstract:

Let $ phi$ be a holomorphic self-map of the open unit polydisk $ U^{n}$ in $ mathbb{C}^{n}$ and $ p, q>0.$ In this paper, the generally weighted Bloch spaces $ B^{p}_{log}(U^{n})$ are introduced, and the boundedness and compactness of composition operator $ C_{phi}$ from $ B^{p}_{log}(U^{n})$ to $ B^{q}_{log}(U^{n})$ are investigated. ;


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