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-  2017 

不同权的Bloch型空间之间的加权复合算子再刻画
CHARACTERIZATION OF WEIGHTED COMPOSITION OPERATORS BETWEEN DIFIERENT WEIGHTED BLOCH TYPE SPACES AGAIN

Keywords: 有界性 紧性 加权复合算子 Bloch型空间 单位圆
boundedness compactness weighted composition operator Bloch type space unit disc

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Abstract:

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.
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

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