| Bergman空间上的复合算子与加权复合算子 |
| |
| 引用本文： | 李作安,江治杰.Bergman空间上的复合算子与加权复合算子[J].四川大学学报(自然科学版),2009,46(5):1245-1250. |
| |
| 作者姓名： | 李作安 江治杰 |
| |
| 作者单位： | 1. 四川理工学院计算机学院,自贡,643000
2. 四川理工学院理学院,自贡,643000 |
| |
| 基金项目： | 四川省教育厅重点项目，四川省教育厅重点项目 |
| |
| 摘 要： | 作者研究了多复平面Cn中有界对称域上解析函数Bergman空间上的复合算子与加权复合算子.利用有界对称域的Bergman度量分解,作者给出了复合算子具有闭值域的一个充分条件.特别地,当有界对称域为单位球时,作者利用Bergman空间上范数与Sobolev空间上范数的等价性得到了复合算子具有闭值域的一个充分条件.最后,作者刻画了自伴加权复合算子以及Fredholm复合算子的特征.
|
| 关 键 词： | Bergman空间 加权复合算子 复合算子 闭值域 Fredholm算子 |
Fredholm Composition Operator and Weighted Composition Operator on Bergman Space |
| |
| LI Zuo-An and JIANG Zhi-Jie.Fredholm Composition Operator and Weighted Composition Operator on Bergman Space[J].Journal of Sichuan University (Natural Science Edition),2009,46(5):1245-1250. |
| |
| Authors: | LI Zuo-An and JIANG Zhi-Jie |
| |
| Institution: | School of Computer Science, Sichuan University of Science & Engerneering;School of Science, Sichuan University of Science & Engineering |
| |
| Abstract: | In this paper, we study the composition operators and weighted composition operators on Bergman spaces of bounded symmetric domains in Cn. The necessary condition for a compositon operator with closed range is obtained by using bounded symmetric domains under the Bergman metric decompositions. In specially, we obtain a necessary condition for a composition operator to be closed-range by using the equivallence norms of Bergman spaces and Sobolev spaces. In the last section, we character self-adjont weighted composition operator and Fredholm composition operator. |
| |
| Keywords: | Bergman space weighted composetion operator composition operator closed range Fredholm operator |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《四川大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《四川大学学报(自然科学版)》下载免费的PDF全文 |
