首页 | 本学科首页   官方微博 | 高级检索  
     检索      

从$\alpha$-Bloch空间到$Q_K$型空间的复合算子
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].数学研究与评论,2009,29(6):999-1010.
作者姓名:于燕燕  刘永民
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
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).
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 〈 ∞.

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:2008/3/12 0:00:00
修稿时间:2008/10/6 0:00:00

Composition Operators from $\alpha$-Bloch Spaces into $Q_K$ Type Spaces
YU Yan Yan and LIU Yong Min.Composition Operators from $\alpha$-Bloch Spaces into $Q_K$ Type Spaces[J].Journal of Mathematical Research and Exposition,2009,29(6):999-1010.
Authors:YU Yan Yan and LIU Yong Min
Institution:School of Mathematics and Physics Science, Xuzhou Institute of Technology, Jiangsu 221008, China;Department of Mathematics, Xuzhou Normal University, Jiangsu 221116, China
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 $C_\phi$: $C_\phi f=f\circ \phi$, for all $f\in X$. 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 $0<\alpha<\infty$.
Keywords:Composition operator  analytic function  ${\cal{B}}^\alpha$ space  $K$-Carleson measure  compact $K$-Carleson measure  
本文献已被 维普 万方数据 等数据库收录!
点击此处可从《数学研究与评论》浏览原始摘要信息
点击此处可从《数学研究与评论》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号