| C~n上Fock空间之正交补空间上的对偶Toeplitz算子的紧性 |
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| 引用本文： | 叶鹏,于涛.C~n上Fock空间之正交补空间上的对偶Toeplitz算子的紧性[J].数学的实践与认识,2011,41(11). |
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| 作者姓名： | 叶鹏 于涛 |
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| 作者单位： | 1. 温州大学瓯江学院理学院,浙江温州,325035
2. 浙江师范大学数学系,浙江金华,321004 |
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| 基金项目： | 温州大学瓯江学院首届教师科研项目 |
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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.
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| 关 键 词： | Gaussian测度 C~n上Fock空间 对偶Toeplitz算子 Hankel算子 |
The Compactness of Dual Toeplitz Operators on the Orthogonal Complement of the Fock Space on Cn |
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| YE Peng,YU Tao.The Compactness of Dual Toeplitz Operators on the Orthogonal Complement of the Fock Space on Cn[J].Mathematics in Practice and Theory,2011,41(11). |
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| Authors: | YE Peng YU Tao |
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| Institution: | YE Peng~1,YU Tao~2 (1.School of Science,Oujiang College,Wenzhou University,Zhejiang 325035,China) (2.Department of Mathematics,Zhejiang Normal University,Zhejiang 321004,China) |
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| Abstract: | In this paper,we deal with the dual Toeplitz operators with square-integrable symbols on the orthogonal complement of the Fock space on C~n,and we explore some necessary and sufficient conditions for the boudedness and the compactness of the operators. |
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| Keywords: | gaussian measure fock space on C~n dual toeplitz operator hankel operator |
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