| 多圆柱上Bloch型空间之间的等距复合算子 |
| |
| 引用本文： | 方中山,周泽华.多圆柱上Bloch型空间之间的等距复合算子[J].数学学报,2012(2):273-280. |
| |
| 作者姓名： | 方中山 周泽华 |
| |
| 作者单位： | 天津大学数学系;天津工业大学数学系 |
| |
| 基金项目： | 国家自然科学基金资助项目(10971153,10671141) |
| |
| 摘 要： | 简单介绍了一些解析函数构成的Banach空间上的满等距的结果,然后刻画了多圆柱上α-Bloch空间复合算子的等距,并得到了复合算子等距的充要条件.
|
| 关 键 词： | 等距 复合算子 Bloch型空间 |
Isometric Composition Operators on the Bloch Type Space in the Polydisk |
| |
| Zhong Shan FANG.Isometric Composition Operators on the Bloch Type Space in the Polydisk[J].Acta Mathematica Sinica,2012(2):273-280. |
| |
| Authors: | Zhong Shan FANG |
| |
| Institution: | Department of Mathematics,Tianjin University,Tianjin 300072,P.R.China |
| |
| Abstract: | We first give a brief survey on some results about surjective isometries on some Banach spaces of analytic functions.Then we characterize the isometries among the composition operators acting on the a-Bloch space in the polydisk,and necessary and sufficient conditions are given for composition operators to be isometric. |
| |
| Keywords: | isometric composition operator Bloch type space |
| 本文献已被 CNKI 等数据库收录！ |
