| Bers型空间和复合算子 |
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| 引用本文： | 姜立建,李叶舟. Bers型空间和复合算子[J]. 东北数学, 2002, 18(3): 223-232 |
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| 作者姓名： | 姜立建 李叶舟 |
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| 作者单位： | JIANG Lijian (Institute of Mathematics，Academia Sinica，Beijing，100080)LI Yezhou (School of Science. Beijing University of Posts and Telecommunications，Beijing，100876) |
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| 基金项目： | The NNSF (19971091) of China. |
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| 摘 要： | For α∈（0,∞),let Hα^∞（or Hα^∞,0)denote the collection of all functions f which are analytic on the unit disc D and satisfy |f(z)|(1-|z|^2)^α=O(1)(or|f(z)|(1-|z|^2)^α=o(1) as |z|→1).Hα^∞,0)is called a Bers-type space (or a little Bers-type space).In this paper,we give some basic properties of Hα^∞，Cψ，the composition operator associated with a symbol function ψ which is an analytic self map of D,is difined by Cψf=f o ψ,We characterize the boundedness,and compactness of Cψ which sends one Bers-type space to another function space.
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| 关 键 词： | Bers型空间 复合算子 符号函数 Carleson测度 解析函数 Banach空间 因式分解性 |
Bers-type Spaces and Composition Operators |
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| JIANG Lijian. Bers-type Spaces and Composition Operators[J]. Northeastern Mathematical Journal, 2002, 18(3): 223-232 |
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| Authors: | JIANG Lijian |
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| Affiliation: | [1]InstituteofMathematics,AcademiaSinica,Beijing,100080 [2]SchoolofScience,BeijingUniversityofPostsandTelecommunications,Beijing,100876 |
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| Abstract: | |
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| Keywords: | Bers-type space Carleson measure composition operator |
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