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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
The Compactness of Dual Toeplitz Operators on the Orthogonal Complement of the Fock Space on C~n
【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.
【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.
【关键词】 Gaussian测度;
C~n上Fock空间;
对偶Toeplitz算子;
Hankel算子;
【Key words】 gaussian measure; fock space on C~n; dual toeplitz operator; hankel operator;
【Key words】 gaussian measure; fock space on C~n; dual toeplitz operator; hankel operator;
【基金】 温州大学瓯江学院首届教师科研项目(JSKY09005)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2011年11期
- 【分类号】O177
- 【被引频次】1
- 【下载频次】74