| Ap(φ)上Toeplitz算子的半换位子 |
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| 引用本文： | 于涛,孙善利.Ap(φ)上Toeplitz算子的半换位子[J].数学研究及应用,2004,24(1):7-12. |
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| 作者姓名： | 于涛 孙善利 |
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| 作者单位： | 浙江师范大学数学系,浙江,金华,321004;北京航空航天大学应用数学系,北京,100083 |
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| 摘 要： | 本文给出加权Bergman空间Ap(φ)上具有界调和符号的Toeplitz算子的半换位子为零或为紧算子的一些充要条件.
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| 关 键 词： | 加权Bergman空间 Toeplitz算子 半换位子 调和函数 |
| 收稿时间： | 6/4/2001 12:00:00 AM |
Semi-Commutators of
Toeplitz Operators on Ap( |
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| YU Tao and SUN Shan-li.Semi-Commutators of
Toeplitz Operators on Ap([J].Journal of Mathematical Research with Applications,2004,24(1):7-12. |
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| Authors: | YU Tao and SUN Shan-li |
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| Institution: | Dept. of Math.; Zhejiang Normal University; Jinhua; China;Dept. of Appl. Math.; Beijing University of Aeronautics and Astronautics; Beijing; China |
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| Abstract: | In this paper, we investigate the semi-commutators of Toeplitz operators on the weighted Bergman spaces Ap(?), and characterize the bounded harmonic functions u and v on the unit disk for which the semi-commutator of Toeplitz operators Tu and Tv is 0 or compact operator. |
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| Keywords: | weighted Bergman space Toeplitz operator semi-commutator harmonic function |
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