| 摘要: |
| 给出Bergman空间Lap(Ω)={f∈H(Ω):||f||=∫Ω|f(x)|pdm(x))1/p<∞}上复合算子下有界的一个充分条件φ(Ω)=Ω,supz∈Ω│detJφ(z)│<∞,和一个必要条件φ(Ω)=Ω,其中φ是Ω到自身的解析映射. |
| 关键词: Bergman空间 复合算子 下有界性 |
| DOI： |
| 投稿时间：2006-12-22修订日期：2007-01-12 |
| 基金项目: |
|
| Bounded Below Property of Composition Operator on Bergman Space |
|
WU Shu-hong
|
| (Department of Mathematics, School of Science, Wuhan University of Technology, Wuhan, Hubei, 430070, China) |
| Abstract: |
| In this paper, we give a sufficient condition φ (Ω)=Ω, supz∈Ω|detJφ (z)|<∞, and a necessary condition φ (Ω)=Ω for bounded below of composition operator on Bergman space Lap (Ω)={f∈H (Ω):‖f‖= (∫Ω|f (x)|pdm (x))1/p<∞}. |
| Key words: Bergman space composition operator bounded below property |
