| 从β0到E(p,q)和E0(p,q)空间的复合算子 |
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| 引用本文： | 刘永民,于燕燕.从β0到E(p,q)和E0(p,q)空间的复合算子[J].数学研究与评论,2006,26(3). |
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| 作者姓名： | 刘永民 于燕燕 |
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| 基金项目： | 中国科学院资助项目;江苏省教育厅自然科学基金 |
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| 摘 要： | 设ψ是单位园盘D到自身的解析映射,X是D上解析函数的Banach空间,对f∈X,定义复合算子Cψ:Cψ(f)=foψ.我们利用从β0到E(p,q)和E0(p,q)空间的复合算子研究了空间E(p,q)和E0(p,q),给出了-个新的特征.
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| 关 键 词： | 有界算子 紧算子 复合算子 解析函数 q-Carleson测度 |
Composition Operators from β0 to E(p, q) and E0(p,q) Spaces |
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| LIU Yong-min,YU Yan-yan.Composition Operators from β0 to E(p, q) and E0(p,q) Spaces[J].Journal of Mathematical Research and Exposition,2006,26(3). |
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| Authors: | LIU Yong-min YU Yan-yan |
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| Abstract: | When ψ is an analytic map of the unit disk D into itself, and X is a Banach space of analytic functions on D, define the composition operator Cψ by Cψ(f) = f o ψ, for f ∈ X. This paper deals with a collection of subclasses of Bloch space by means of composition operators from a subspace β0 of Qq to E(p,q) and Eo(p,q) and gets a new characterization of spaces E(p, q) and E0(p, q). |
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| Keywords: | Bounded operator compact operator composition operator analytic function q-carleson measure |
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