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C^n上Fock空间之正交补空间上的对偶Toeplitz算子的紧性 被引量：1

The Compactness of Dual Toeplitz Operators on the Orthogonal Complement of the Fock Space on C^n
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摘要 讨论C^m上Fock空间之正交补空间上以平方可积函数为符号的对偶Toeplitz算子,并给出其有界性与紧性的等价判别条件. In this paper, we deal with the dual Toeplitz operators with square-integrable symbols on the orthogonal complement of the Fock space on Cn, and we explore some necessary and sufficient conditions for the boudedness and the compactness of the operators.
作者 叶鹏 于涛
机构地区 温州大学瓯江学院理学院 浙江师范大学数学系
出处 《数学的实践与认识》 CSCD 北大核心 2011年第11期125-131,共7页 Mathematics in Practice and Theory
基金 温州大学瓯江学院首届教师科研项目(JSKY09005)
关键词 Gaussian测度 Cn上Fock空间 对偶TOEPLITZ算子 HANKEL算子 gaussian measure lock space on Cn dual toeplitz operator hankel operator
分类号 O177 [理学—基础数学]
  • 相关文献

参考文献14

  • 1Janson S, Peetre J, and Rochberg R. Hankle forms and the Fock space[J]. Rev Mat Iberoamericana, 1987, 3: 61-138.
  • 2Guillemin V. Toeplitz operators in n-dimensions[J]. Integr Equat Oper Th, 1984, 7: 145-205.
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二级参考文献9

  • 1[1]Janson S,Peetre J,Rochberg R.Hankle forms and the Fock spare[J].Rev Mat Iberoamericana,1987,3:61-138.
  • 2[2]Guillemin V.Toeplitz operators in n-dimensions[J].Integr Equat Oper Th,1984,7:145-205.
  • 3[3]Berger C A,Coburn L A.Toeplitz opertors on the Segal-Bargmann Space[J].Trans Amer Math Soc,1987,301:813-829.
  • 4[4]Stroethoff K.Hankel and Toeplitz operators on the Fock space[J].Michigan Math J,1992,39:3-16.
  • 5[5]Brown A,Halmos P R.Algebraic properties of Toeplitz operators[J].J Reine Angew Math,1964,213:89-102.
  • 6[6]Axler S,Zheng D C.Compact operators via Berezin transform[J].Indiana Univ Math J,1998,47:387-400.
  • 7[7]Stroethoff K,Dechao Zheng.Algebraic and spectral properties of dual Toeplitz operators[J].Trans Amer Math Soc,2002,354:2495-2520.
  • 8[8]Rudin W.Real and Complex Analysis[M].2nd Ed.New York:McGraw-Hill,1974:187.
  • 9严从荃,孙顺华.The automorphism group of the Toeplitz algebra on H2(T2)[J].Science China Mathematics,2000,43(3):225-233. 被引量：2

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数学的实践与认识
2011年 第11期

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