| Dirichlet型空间上的紧加权复合算子的谱 |
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| 引用本文： | 王茂发,刘培德. Dirichlet型空间上的紧加权复合算子的谱[J]. 数学物理学报(A辑), 2010, 30(4): 873-883 |
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| 作者姓名： | 王茂发 刘培德 |
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| 作者单位： | 武汉大学数学与统计学院,武汉,430072 |
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| 摘 要： | 该文研究了单位多圆柱情形Dirichlet型空间上的加权复合算子的谱.对一类紧加权复合算子,给出了其谱的完全刻画,推广了已有结果.
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| 关 键 词： | Dirichlet型空间 加权复合算子 紧算子 谱 |
| 收稿时间： | 2008-10-30 |
| 修稿时间： | 2009-10-09 |
Spectra of Compact Weighted Composition Operators on Dirichlet Type Spaces |
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| WANG Mao-Fa,LIU Pei-De. Spectra of Compact Weighted Composition Operators on Dirichlet Type Spaces[J]. Acta Mathematica Scientia, 2010, 30(4): 873-883 |
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| Authors: | WANG Mao-Fa LIU Pei-De |
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| Affiliation: | School of Mathematics and Statistics, Wuhan University, Wuhan 430072 |
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| Abstract: | In this paper, the authors study the spectra of weighted composition operators on Dirichlet type spaces Dα(Un) defined on the unit polydisc {Un) in Cn. Some spectral characterizations of a class of compact weighted composition operators on Dα{Un) are obtained, which extend some previous results. |
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| Keywords: | Dirichlet type spacezz Weighted composition operatorzz Compact operatorzz Spectrumzz |
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