| Fock空间上径向函数诱导的Toeplitz算子 |
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| 引用本文： | 黄穗. Fock空间上径向函数诱导的Toeplitz算子[J]. 数学学报, 2019, 62(2): 345-352 |
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| 作者姓名： | 黄穗 |
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| 作者单位： | 重庆师范大学数学科学学院 重庆 401331 |
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| 基金项目： | 国家自然科学基金资助项目（11501068）；重庆市教委科研资助项目（KJ1600302） |
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| 摘 要： | 本文讨论了Fock空间上以径向函数和拟齐次函数为符号的Toeplitz算子的代数性质,给出了两个以径向函数为符号的Toeplitz算子的积仍为Toeplitz算子的充分必要条件,并且研究了以拟齐次函数为符号的Toeplitz算子的交换性.
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| 关 键 词： | TOEPLITZ算子 FOCK空间 径向函数 拟齐次函数 |
Toeplitz Operators with Radial Symbols on Fock Space |
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| Sui HUANG. Toeplitz Operators with Radial Symbols on Fock Space[J]. Acta Mathematica Sinica, 2019, 62(2): 345-352 |
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| Authors: | Sui HUANG |
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| Affiliation: | School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, P. R. China |
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| Abstract: | We discuss some algebraic properties of Toeplitz operators with a class of radial and quasi-homogeneous symbols on the Fock space of the complex plane. We give necessary and sufficient conditions for the product of two Toeplitz operators with radial symbols to be a Toeplitz operator, and study the zero-product problem of several such Toeplitz operators. Furthermore, the corresponding commuting problem of Toeplitz operators with quasi-homogeneous symbols is studied. |
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| Keywords: | Toeplitz operator Fock space radial function quasi-homogeneous function |
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