Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (5): 1196-1205.

• Articles • Previous Articles     Next Articles

Compact Operators on Dirichlet Space

  

  1. School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006
  • Received:2007-11-21 Revised:2008-08-06 Online:2009-10-25 Published:2009-10-25
  • Supported by:

    国家自然科学基金(1067042)和高等学校博士学科点专项科研基金

Abstract:

If S is a Hankel operator or a finite sum of finite products of Toeplitz operators  on Dirichlet space of unit disk, some equivalence conditions of compactness of operator S are obtained.

Key words: Dirichlet space, Toeplitz operator, Hankel operator, compact operator

CLC Number: 

  • 47B35
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