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Dirichlet型空间上的紧加权复合算子的谱 被引量:1

Spectra of Compact Weighted Composition Operators on Dirichlet Type Spaces
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摘要 该文研究了单位多圆柱情形Dirichlet型空间上的加权复合算子的谱.对一类紧加权复合算子,给出了其谱的完全刻画,推广了已有结果. In this paper, the authors study the spectra of weighted composition operators on Dirichlet type spacesDa(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.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2010年第4期873-883,共11页 Acta Mathematica Scientia
基金 国家自然科学基金资助
关键词 DIRICHLET型空间 加权复合算子 紧算子 Dirichlet type space Weighted composition operator Compact operator Spectrum.
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  • 1Rochberg R, Wu Z J. Toeplitz operators on Dirichlet spaces. Integr Equat Oper Th, 1992, 15:325-342
  • 2Wu Z J. Hankel and Toeplitz operators on Dirichlet spaces. Integr Equat Oper Th, 1992, 15: 503-525
  • 3Cao G F. Fredholm Properties of Toeplitz operators on Dirichlet spaces. Pacific J Math, 1999, 188(2):209-223
  • 4Bottcher A, Silermann B. Analysis of Toeplitz operators. Berlin: Akademie-Verlag, 1989
  • 5Bottcher A, Woif H. Galerkin-Petrov methods for bergman space toeplitz operators. SIAM J Numer Anal,1993, 30:3846-3863
  • 6Bottcher A, Woif H. Large sections of bergman toeplitz operators with piecewise continuous symbols.Math Nachr, 1992, 156:129-155
  • 7Lorenzana A,Garrido JA.A boundary element approach for contact problems involving large displacements[].Computers and Structures.1998
  • 8Paris F,Blazquez A,Canas J.Contact problems with nonconforming discretization using boundary element method[].Computers and Structures.1995
  • 9Axler,S.,Shields,A. L.Univalent multipliers of the Dirichlet space[].Michigan Mathematical Journal.1985
  • 10Cochran,W G,Shpiro,J H,Ullrich,D C.Random Dirichlet Functions: Multipliers and Smoothness[].Canadian Journal of Mathematics.1993

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