Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (4): 873-883.

• Articles • Previous Articles     Next Articles

Spectra of Compact Weighted Composition Operators on Dirichlet Type Spaces

 WANG Mao-Fa, LIU Pei-De   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072
  • Received:2008-10-30 Revised:2009-10-09 Online:2010-07-25 Published:2010-07-25
  • Supported by:

    国家自然科学基金资助

Abstract:

In this paper, the authors study the spectra of weighted composition  operators on Dirichlet type spaces Dα(Un) defined on the unit polydisc  {Un) in Cn. Some spectral characterizations of  a class of  compact weighted composition operators on Dα{Un) are obtained, which extend some previous results.

Key words: Dirichlet type space, Weighted composition operator, Compact operator, Spectrum

CLC Number: 

  • 47B38
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