| Bergman空间上拟齐次Toeplitz算子的乘积 |
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| 引用本文： | 邓燕,徐宪民.Bergman空间上拟齐次Toeplitz算子的乘积[J].应用泛函分析学报,2009,11(3):211-216. |
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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,金华,321004;嘉兴学院,数学研究所,嘉兴,314001
2. 嘉兴学院,数学研究所,嘉兴,314001 |
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| 摘 要： | 使用Mellin变换作为工具,讨论了Bergman空间上以拟齐次函数为符号的Toeplitz算子的乘积问题,得出了当拟齐次函数的度处于三种不同情况时两个Toeplitz算子乘积仍是Toeplitz算子的充分必要条件.
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| 关 键 词： | Bergman空间 Toeplitz算子 Mellin变换 拟齐次函数 |
Products of Toeplitz Operators with Quasihomogeneous Symbols on Bergman Space |
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| DENG Yan,XU Xian-min.Products of Toeplitz Operators with Quasihomogeneous Symbols on Bergman Space[J].Acta Analysis Functionalis Applicata,2009,11(3):211-216. |
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| Authors: | DENG Yan XU Xian-min |
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| Institution: | 1. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China 2. Institute of Mathematics, Jiaxing University, Jiaxing 314001, China) |
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| Abstract: | This paper concerns with the product of Toeplitz operators on the Bergman space with symbols in the quasihomogeneous functions. Three cases in terms of the degree of the symbol 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 improve the previous ones. |
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| Keywords: | Bergman space Toeplitz operator Mellin transform quasihomogeneous function |
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