| 加权Bergman空间里加权复合算子的紧差分 |
| |
| 引用本文： | 张国强.加权Bergman空间里加权复合算子的紧差分[J].山东大学学报(理学版),2012,47(12):78-81. |
| |
| 作者姓名： | 张国强 |
| |
| 作者单位： | 天津大学理学院, 天津 300072 |
| |
| 基金项目： | 国家自然科学基金资助项目(10971153,10671141) |
| |
| 摘 要： | 描述了加权Bergman空间里由解析函数,ψ及u,v诱导的加权复合算子的紧差分。给出了该空间里差分的紧性和本性范数的充分条件。
|
| 关 键 词： | 加权复合算子 加权Bergman空间 紧性 本性范数 |
| 收稿时间： | 2012-02-28 |
Compact differences of weighted composition operators between weighted Bergman spaces |
| |
| ZHANG Guo-qiang.Compact differences of weighted composition operators between weighted Bergman spaces[J].Journal of Shandong University,2012,47(12):78-81. |
| |
| Authors: | ZHANG Guo-qiang |
| |
| Institution: | School of Science, Tianjin University, Tianjin 300072, China |
| |
| Abstract: | he compactness of differences of weighted composition operators between weighted Bergman spaces of analytic functions on the open unit disk D in terms of inducing symbols ,ψ:D→D and u,v:D→C are characterized. Finally, a sufficient condition for compactness and essential norm of the difference operator between weighted Bergman spaces is given. |
| |
| Keywords: | weighted composition operator weighted bergman space compactness essential norm |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《山东大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《山东大学学报(理学版)》下载免费的PDF全文 |
