| 正度拟齐次Toeplitz算子的乘积 |
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| 引用本文： | 邓燕,徐宪民.正度拟齐次Toeplitz算子的乘积[J].嘉兴学院学报,2008,20(3):5-9. |
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| 作者姓名： | 邓燕 徐宪民 |
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| 作者单位： | 1. 浙江师范大学数学系,浙江金华,321004;嘉兴学院数学研究所,浙江嘉兴,314001
2. 嘉兴学院数学研究所,浙江嘉兴,314001 |
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| 基金项目： | 国家自然科学基金
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嘉兴学院校科研资助项目 |
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| 摘 要： | 在Bergman空间上讨论了以拟齐次函数为符号的Toeplitz算子的乘积问题.使用Mellin变换作为工具,得出了当拟齐次函数的度都为正度时两个Toeplitz算子乘积仍是Toeplitz算子的充分必要条件,完善了以往文献中的有关结果.
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| 关 键 词： | BERGMAN空间 TOEPLITZ算子 Mellin变换 拟齐次函数 |
Toeplitz Operators with Quasihomogeneous Symbols of Positive Degree |
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| DENG Yan,XU Xian-min.Toeplitz Operators with Quasihomogeneous Symbols of Positive Degree[J].Journal of Jiaxing College,2008,20(3):5-9. |
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| Authors: | DENG Yan XU Xian-min |
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| Institution: | DENG Yan,XU Xian-min(1.Department of Mathematics,Zhejiang Normal University,Jinhua,Zhejiang 321004;2.Institute of Mathematics,Jiaxing University,Jiaxing,Zhejiang 314001) |
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| Abstract: | This paper concerns the product of Toeplitz operators on the Bergman space with symbols in the quasihomogeneous functions.Toeplitz operators with quasihomogeneous symbol of positive degree are discussed.By using Mellin transform,the necessary and sufficient conditions are given for the product of two Toeplitz operators to be a Toeplitz operator.These results would perfect the relevant ones in the past literature. |
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| Keywords: | Bergman Space Toeplitz Operator Mellin Transform Quasihomogeneous Function |
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