| 加权Bergman空间上的紧Toeplitz和Hankel算子积 |
| |
| 引用本文： | 唐树江. 加权Bergman空间上的紧Toeplitz和Hankel算子积[J]. 湘潭大学自然科学学报, 2007, 29(3): 29-36 |
| |
| 作者姓名： | 唐树江 |
| |
| 作者单位： | 湘潭大学数学系,湖南,湘潭,411105 |
| |
| 基金项目： | I must thank of the direction and teaching of my supervisor Professor Hu Junyun sincerely. |
| |
| 摘 要： | 主要考察一类加权Bergman空间上的紧算子,得到了当f,g是解析函数时,Toeplitz和Hankel算子的积TfαHgα,*是紧算子的充分必要条件.
|
| 关 键 词： | 加权Bergman空间 Toeplitz和Hankel算子积 紧算子 |
| 文章编号： | 1000-5900（2007）02-0029-08 |
| 修稿时间： | 2005-06-12 |
Compact Products of Hankel and Toeplitz Operators on Weighted Bergman Space |
| |
| TANG Shu-jang. Compact Products of Hankel and Toeplitz Operators on Weighted Bergman Space[J]. Natural Science Journal of Xiangtan University, 2007, 29(3): 29-36 |
| |
| Authors: | TANG Shu-jang |
| |
| Affiliation: | Department of Mathematics,Xiangtan University, Xiangtan 411105 China |
| |
| Abstract: | In this paper,we give a sufficient and necessary condition that the products of Toeplitz and Hankel operators Tαf Hga,*,for analytic functions f,g is compact on the weighted Bergman space L2(D,(1+α)(1-│z│)αdA(z)). |
| |
| Keywords: | Weighted Bergman space Products of Toeplitz and Hankel operators Compact operator |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《湘潭大学自然科学学报》浏览原始摘要信息 |
|
点击此处可从《湘潭大学自然科学学报》下载全文 |
