| 单位球上Lipschitz空间及其空间上的加权复合算子 |
| |
| 引用本文： | 戴济能.单位球上Lipschitz空间及其空间上的加权复合算子[J].武汉大学学报(理学版),2012,58(2):95-99. |
| |
| 作者姓名： | 戴济能 |
| |
| 作者单位： | 武汉大学数学与统计学院,湖北武汉430072／武汉工程大学理学院,湖北武汉430073 |
| |
| 基金项目： | 数学天元青年基金资助项目 |
| |
| 摘 要： | 刻画了单位球上Lipschitz空间的特征,同时给出了加权复合算子Wu,φ在Lipschitz空间上为有界算子和紧算子的充要条件.作为一个推论,利用角导数定理得出‖φ‖∞1是复合算子Cφ在Lipschitz空间上为紧的必要条件.
|
| 关 键 词： | Lipschitz空间 加权复合算子 单位球 |
The Lipschitz Space of the Unit Ball and Weighted Composition Operator on the Lipschitz Space |
| |
| DAI Jineng.The Lipschitz Space of the Unit Ball and Weighted Composition Operator on the Lipschitz Space[J].JOurnal of Wuhan University:Natural Science Edition,2012,58(2):95-99. |
| |
| Authors: | DAI Jineng |
| |
| Institution: | DAI Jineng1,2(1.School of Mathematics and Statistics,Wuhan University,Wuhan 430072,Hubei,China; 2.School of Science,Wuhan Institute of Technology,Wuhan 430073,Hubei,China) |
| |
| Abstract: | The characterization of the Lipschitz space in the unit ball is given,and the necessary and sufficient conditions are obtained for the weighted composition operator Wu,φ to be bounded and compact on the Lipschitz space.As a by-product of main results,the condition ‖φ‖∞<1 is necessary for the compactness of the composition operator Cφ on the Lipschitz space by the angular derivative theorem. |
| |
| Keywords: | Lipschitz space weighted composition operator unit ball |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
