| Hardy空间之间的加权复合算子 |
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| 引用本文： | 王茂发,刘培德.Hardy空间之间的加权复合算子[J].应用数学,2003,16(1):130-135. |
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| 作者姓名： | 王茂发 刘培德 |
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| 作者单位： | 武汉大学数学与统计学院,湖北,武汉,430072 |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina |
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| 摘 要： | 本文研究了复平面中单位圆盘D上不同Hardy空间之间的加权复合算子，利用Carleson测度的概念分别给出了有界或紧的加权复合算子的充分必要条件。本文也用角数的概念给出了紧加权复合算子的一个必要条件。
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| 关 键 词： | 加权复合算子 Carleson测度 角导数 Hardy空间 |
Weighted Composition Operators Between Hardy Spaces |
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| WANG Mao-fa,LIU Pei-de.Weighted Composition Operators Between Hardy Spaces[J].Mathematica Applicata,2003,16(1):130-135. |
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| Authors: | WANG Mao-fa LIU Pei-de |
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| Abstract: | In this paper,we study weighted composition operators between Hardy spaces,induced by a fixed analytic function and an analytic self map of the open unit disk,and give the sufficient and necessary conditions,in terms of the concept of Carleson measure,for the weighted composition operator to be bounded and compact respectively.We also give a necessary condition of compact weighted composition operator in terms of the angular derivative of the inducing maps. |
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| Keywords: | Weighted composition operator Carleson measure Angular derivative Hardy space |
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