论文标题
消失的Carleson措施和功率紧凑的加权构图操作员
Vanishing Carleson measures and power compact weighted composition operators
论文作者
论文摘要
在本文中，我们将Carleson测量和消失的Carleson测量在伯格曼空间上具有可允许权重的{\ it t-berezin transform}和{\ it averaging averaging函数}作为关键工具。此外，功率有限和功率紧凑的加权构图操作员的特征是Carleson测度的应用和消失的Carleson措施在具有可允许权重的伯格曼空间上。
In this paper, we characterize Carleson measure and vanishing Carleson measure on Bergman spaces with admissible weights in terms of {\it t-Berezin transform} and {\it averaging function} as key tools. Moreover, power bounded and power compact weighted composition operators are characterized as application of Carleson measure and vanishing Carleson measure respectively on Bergman spaces with admissible weights.
