| 从Apα到A∞(ψ)的加权复合算子 |
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| 引用本文： | 刘永民,张芳. 从Apα到A∞(ψ)的加权复合算子[J]. 数学研究与评论, 2008, 28(3). DOI: 10.3770/j.issn.1000-341X.2008.03.011 |
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| 作者姓名： | 刘永民 张芳 |
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| 作者单位： | 刘永民,LIU Yong Min(Department of Mathematics, Xuzhou Normal University, Jiangsu 221116, China);张芳,ZHANG Fang(Department of Information Science, Jiangsu Polytechnic University, Jiangsu 213164, China) |
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| 基金项目： | 国家自然科学基金，江苏省教育厅自然科学基金 |
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| 摘 要： | Suppose u ∈ H(D) and φ is an analytic map of the unit disk D into itself. Definethe weighted composition operator uCφ : uCφ(f) = uf o φ, for all f ∈ H(D). In this paper,we get necessary and sufficient conditions for the bounded and compact weighted compositionoperators from the weighted Bergman spaces Apα to A∞(ψ) (A∞0(ψ)) spaces.
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| 关 键 词： | Apα space A∞(ψ) space |
Weighted Composition Operators from to |
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| LIU Yong Min,ZHANG Fang. Weighted Composition Operators from to[J]. Journal of Mathematical Research and Exposition, 2008, 28(3). DOI: 10.3770/j.issn.1000-341X.2008.03.011 |
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| Authors: | LIU Yong Min ZHANG Fang |
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| Abstract: | Suppose u ∈ H(D) and φ is an analytic map of the unit disk D into itself. Definethe weighted composition operator uCφ : uCφ(f) = uf o φ, for all f ∈ H(D). In this paper,we get necessary and sufficient conditions for the bounded and compact weighted compositionoperators from the weighted Bergman spaces Apα to A∞(ψ) (A∞0(ψ)) spaces. |
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| Keywords: | composition operator |
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