| 从Zygmund空间到Bloch-type空间的加权复合算子 |
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| 引用本文： | 邹堃,谭海鸥.从Zygmund空间到Bloch-type空间的加权复合算子[J].青岛建筑工程学院学报,2010(5):105-108. |
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| 作者姓名： | 邹堃 谭海鸥 |
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| 作者单位： | 五邑大学数学与计算科学学院,江门529020 |
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| 摘 要： | 令φ,u分别是复平面C上的单位开圆盘D中的解析自映射和解析函数.加权复合算子定义为（uCφ）（f）（z）=u（z）f（φ（z））,z∈D,f∈H（D）.主要讨论了从Zygmund空间到Bloch-type空间的加权复合算子的有界性和紧性.
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| 关 键 词： | 加权复合算子 Zygmund空间 Bloch-type空间 有界性 紧性 |
Weighted Composition Operators from Zygmund Spaces into Bloch-type Spaces |
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| ZOU Kun,TAN Hai-ou.Weighted Composition Operators from Zygmund Spaces into Bloch-type Spaces[J].Journal of Qingdao Institute of Architecture and Engineering,2010(5):105-108. |
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| Authors: | ZOU Kun TAN Hai-ou |
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| Affiliation: | (School of Mathematics and Computational Science,Wuyi University,Jiangmen 529020,China) |
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| Abstract: | Let φ be an analytic self-map and u be a fixed analytic function in the open unit disk D on the complex plane C.The weighted composition operator is defined by（uC_φ）（f）（z）=u（z）f（φ（z））,z∈D,f∈H（D）.This paper studies the boundedness and compactness of the weighted composition operators from Zygmund spaces to Bloch-type spaces. |
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| Keywords: | weighted composition operator Zygmund space Bloch-type space boundedness compactness |
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