| 从$alpha$-Bloch空间到$Q_K$型空间的复合算子 |
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| 引用本文： | 于燕燕,刘永民. 从$alpha$-Bloch空间到$Q_K$型空间的复合算子[J]. 数学研究及应用, 2009, 29(6): 999-1010 |
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| 作者姓名： | 于燕燕 刘永民 |
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| 作者单位： | 徐州工程学院数学与物理科学学院, 江苏 徐州 221008;徐州师范大学数学科学学院, 江苏 徐州 221116 |
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| 基金项目： | 国家自然科学基金(No.10471039);江苏省高校自然科学基础研究项目(Nos.06KJD110175; 07KJB110115). |
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| 摘 要： | Suppose φ is an analytic map of the unit disk D into itself, X is a Banach space of analytic functions on D. Define the composition operator Cφ： Cφf = f °φ, for all f ∈ X. In this paper, the boundedness and compactness of the composition operators from α-Bloch spaces into QK（p,q） and QK,0（p,q） spaces are discussed, where 0 〈 α 〈 ∞.
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| 关 键 词： | Banach空间 复合算子 Bloch空间 单位圆盘 解析函数 分析图 经营者 有界性 |
| 收稿时间： | 2008-03-12 |
| 修稿时间： | 2008-10-06 |
Composition Operators from $alpha$-Bloch Spaces into $Q_K$ Type Spaces |
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| YU Yan Yan and LIU Yong Min. Composition Operators from $alpha$-Bloch Spaces into $Q_K$ Type Spaces[J]. Journal of Mathematical Research with Applications, 2009, 29(6): 999-1010 |
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| Authors: | YU Yan Yan and LIU Yong Min |
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| Affiliation: | School of Mathematics and Physics Science, Xuzhou Institute of Technology, Jiangsu 221008, China;Department of Mathematics, Xuzhou Normal University, Jiangsu 221116, China |
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| Abstract: | Suppose $phi$ is an analytic map of the unit disk $D$ into itself, $X$ is a Banach space of analytic functions on $D$. Define the composition operator $C_phi$: $C_phi f=fcirc phi$, for all $fin X$. In this paper, the boundedness and compactness of the composition operators from $alpha$-Bloch spaces into $Q_K(p,q)$ and $Q_{K,0}(p,q)$ spaces are discussed, where $0
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| Keywords: | Composition operator analytic function ${cal{B}}^alpha$ space $K$-Carleson measure compact $K$-Carleson measure. |
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