| H∞和Bergman空间之间的加权复合算子 |
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| 引用本文： | 唐笑敏.H∞和Bergman空间之间的加权复合算子[J].数学杂志,2007,27(4):381-384. |
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| 作者姓名： | 唐笑敏 |
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| 作者单位： | 湖州师范学院数学系,浙江,湖州,313000 |
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| 基金项目： | 国家自然科学基金;浙江省自然科学基金;浙江省湖州市自然科学基金 |
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| 摘 要： | 本文研究H∞和Bergman空间之间加权复合算子uCφ的有界性或紧性,利用泛函分析及复分析的方法,获得了uCφ是有界算子或紧算子的充要条件在H∞和Bergman空间之间的范数估计,推广了各类解析函数空间上加权复合算子的相应理论.
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| 关 键 词： | 加权复合算子 Bergman空间 H∞ H∞ |
| 文章编号： | 0255-7797（2007）04-0381-04 |
| 修稿时间： | 2004-09-302005-12-19 |
WEIGHTED COMPOSITION OPERATORS BETWEEN H∞ AND BERGMAN SPACES |
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| TANG Xiao-min.WEIGHTED COMPOSITION OPERATORS BETWEEN H∞ AND BERGMAN SPACES[J].Journal of Mathematics,2007,27(4):381-384. |
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| Authors: | TANG Xiao-min |
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| Institution: | Dept. of Math. , Huzhou Teachers College, Huzhou 313000, China |
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| Abstract: | In this paper,we study the boundedness and compactness of the weighted composition operator uCΦbetween H∞and Bergman spaces.By using the method of functional analysis and complex analysis,we obtain the sufficient and necessary conditions that uC,is a bounded or compact operator,and some estimates for the norm of uCΦbetween H∞and Bergman spaces.It generalizes the corresponding theory of the weighted composition operator on some kirids of analytic function spaces. |
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| Keywords: | weighted composition operator Bergman space |
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