| 许安见,严丛荃.加权Bergman空间上的解析Toeplitz算子的约化子空间[J].数学年刊A辑,2009,30(5):639~646 |
| 加权Bergman空间上的解析Toeplitz算子的约化子空间 |
| Reducing Subspace of Analytic Toeplitz Operator on Weighted Bergman Space |
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| DOI： |
| 中文关键词: 加权Bergman空间 Blaschke乘积 解析Toeplitz算子 约化子空间 加权Bergman位移 |
| 英文关键词:Weighted Bergman space, Blaschke product, Analytic Toeplitz
operators, Reducing subspace, Weighted Bergman shift |
| 基金项目:国家自然科学基金，重庆邮电大学青年基金(No.A2007-28)资助的项目 |
| Author Name | Affiliation | E-mail | | XU Anjian | Department of Mathematics, Zhejiang University, Hangzhou 310027, China
College of Mathematics and Physics, Chongqing University of Post and
Telecommunication, Chongqing 400065, China. | anjian.xu@gmail.com | | YAN Congquan | Department of Mathematics, Jiaxing University, Jiaxing 314001, Zhejiang,
China. | yancongquan@zjxu.edu.cn |
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| 中文摘要: |
| 证明了加权Bergman空间上以有限Blaschke乘积φ为符号的解析Toeplitz算子Bφ至少存在一个约化子空间M,并且Bφ在M上的的限制酉等价于加权Bergman位移. |
| 英文摘要: |
| For finite Blaschke products '(z), it is proved that there exists a reducing
subspace M of the Toeplitz operators B' on the weighted Bergman space such that B'|M
is unitrarily equivalent to the weighted Bergman shift S. |
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