| Diriehlet空间上Toeplitz算子乘积的可逆性 |
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| 引用本文： | 冯丽霞,田芳.Diriehlet空间上Toeplitz算子乘积的可逆性[J].山西师范大学学报,2012(4):1-4. |
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| 作者姓名： | 冯丽霞 田芳 |
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| 作者单位： | [1]山西师范大学数学与计算机科学学院,山西临汾041004 [2]海门市冠今中学,江苏海门226100 |
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| 基金项目： | 山西省青年科技基金（2010021002-2）. |
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| 摘 要： | 本文给出了Dirichlet空间上Topelitz算子乘积TΨTΨ^是可逆的充要条件，同时也考虑了Dirichlet空间上Toeplitz算子乘积TΨTΨ-和TΨTΨ-同时可逆的刻画．这里ψ，ψ是Dirichlet空间上的乘子．
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| 关 键 词： | Dirichlet空间 Toeplitz算子 乘积 可逆性 |
Invertible Products of Toeplitz Operators on Dirichlet Space |
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| FENG Li xia,TIAN Fang.Invertible Products of Toeplitz Operators on Dirichlet Space[J].Journal of Shanxi Teachers University,2012(4):1-4. |
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| Authors: | FENG Li xia TIAN Fang |
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| Institution: | 1. School of Mathematical and Computer Science, Shanxi Normal University, Linfen 041004, Shanxi, China; 2. Middle School of Gunfin , Haimen 226100, Jiangsu , China) |
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| Abstract: | In this paper, the necessy and sufficient condition for the product of Toeplitz operators TψTψ on Dirichlet space to be invertible is given. Also, the condition of invertiblility for both Tψ Tψ and Tψ T; is characterized. Here,ψ,ψare multipliers of Dirichlet space. |
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| Keywords: | Dirichlet space Toeplitz operator product invertibility |
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