| 摘要: |
| 本文研究了单位圆中从空间βL到βα的加权复合算子uCφ为有界算子和紧算子的条件.利用阶估计等方法，获得了有界性和紧性的简捷充要条件，推广了叶善力的相应结果. |
| 关键词: 有界性 紧性 加权复合算子 Bloch型空间 单位圆 |
| DOI： |
| 分类号:O174.51;O177.2 |
| 基金项目:湖南省自然科学基金资助（2015JJ2095）. |
|
| CHARACTERIZATION OF WEIGHTED COMPOSITION OPERATORS BETWEEN DIFIERENT WEIGHTED BLOCH TYPE SPACES AGAIN |
|
FAN Hai-xia, XI Li-hua, ZHANG Xue-jun
|
|
College of Mathematics and Computer Science, Hunan Normal University, Changsha 410006, China
|
| Abstract: |
| In the paper, the authors discuss the conditions that the weighted composition operator uCφ is a bounded operator or compact operator from the space βL to the space βα in the disc. By the way of order's estimation, the briefly su-cient condition and necessary conditions are given, which extend Ye Shanli's results. |
| Key words: boundedness compactness weighted composition operator Bloch type space unit disc |
