| 从Bloch-type空间到Bers-type空间的复合算子 |
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| 引用本文： | 普昭年.从Bloch-type空间到Bers-type空间的复合算子[J].沈阳师范大学学报(自然科学版),2012,30(2):145-148. |
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| 作者姓名： | 普昭年 |
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| 作者单位： | 河西学院数学与统计学院,甘肃张掖,734000 |
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| 基金项目： | 甘肃省教育厅科研基金资助项目(0709-03) |
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| 摘 要： | 一个线性算子把有界集映为有界集,则称它为有界的;若一个线性算子把有界集映为有紧闭包的集合,则称它是紧的。在解析函数空间中,感兴趣的是找出解析映射所诱导的有界算子或紧算子的函数理论特征。主要给出了从Bloch-type空间到Bers-type空间及小Bers-type空间的复合算子有界和紧的充要条件。
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| 关 键 词： | Bloch-type空间 Bers-type空间 复合算子 有界性 紧性 |
Composition operators from Bloch-type space to Bers-type space |
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| PU Zhao-nian.Composition operators from Bloch-type space to Bers-type space[J].Journal of Shenyang Normal University: Nat Sci Ed,2012,30(2):145-148. |
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| Authors: | PU Zhao-nian |
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| Institution: | PU Zhao-nian (School of Mathematics and Statistics,Hexi University,Zhangye 734000,China) |
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| Abstract: | If a linear operator maps a bounded set to bounded set,then we call it bounded operator.If a linear operator maps a bounded set to set with compact closure,then we call it compact operator.In the analysis functions space,it is interesting to find out its function theoretical characteristics of the analytic mapping induced by a bounded operator or a compact operator.In this paper,we mainly give the necessary and sufficient conditions of boundedness and compactness of weighted composition operators from Bloch-type space to Bers-type space. |
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| Keywords: | Bloch-type space Bers-type space composition operators boundedness compactness |
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