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| 加权Bergman空间上的约化子空间 | |
| 引用本文： | 王志杰,徐宪民,许安见.加权Bergman空间上的约化子空间[J].系统科学与数学,2010,30(5):672-680. |
| 作者姓名： | 王志杰 徐宪民 许安见 |
| 作者单位： | 1. 复旦大学数学科学学院,上海,200431 2. 浙江嘉兴学院,嘉兴,314001 3. 重庆邮电大学应用数学研究所,重庆,4000651 |
| 摘 要： | 主要证明在加权Bergman空间上符号为有限Blaskchke乘积的解析Toeplitz算子总是可约的,即至少有一个约化子空间.并且把该算子限制在该子空间上酉等价于加权Bergman位移. |
| 关 键 词： | 约化子空间 加权Bergman位移 Toeplitz算子. |
| 收稿时间： | 2008-10-24 |
| 修稿时间： | 2010-4-21 |
REDUCING SUBSPACES OF THE WEIGHTED BERGMAN SPACE |
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| WANG Zhijie,XU Xianmin,XU Anjian.REDUCING SUBSPACES OF THE WEIGHTED BERGMAN SPACE[J].Journal of Systems Science and Mathematical Sciences,2010,30(5):672-680. | |
| Authors: | WANG Zhijie XU Xianmin XU Anjian |
| Institution: | Department of Mathematics, Fudan University, Shanghai 200433; Department of Mathematics, Jiaxing University, Jiaxing 314001; Institute of Applied Mathematics, Chongqing University of Post and Telecom, Chongqing 400065 |
| Abstract: | In this paper, we mainly prove that the analytic Toeplitz operator with finite Blaskchke product symbol on the weighted Bergman Spaces has at least a reducing subspace on which the restriction of the associated Toeplitz operator is unitary equivalent to the weighted Bergman shift. |
| Keywords: | Reducing space weighted Bergman shift Toeplitz operator |
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