| 杨向东.Hardy-Smirnov空间中复合算子的收敛性[J].数学研究及应用,2011,31(4):742~748 |
| Hardy-Smirnov空间中复合算子的收敛性 |
| Convergence of Composition Operators on Hardy-Smirnov Space |
| 投稿时间：2009-11-20 修订日期：2011-01-13 |
| DOI：10.3770/j.issn:1000-341X.2011.04.021 |
| 中文关键词: 复合算子 收敛性 Hardy-Smirnov空间. |
| 英文关键词:composition operators convergence Hardy-Smirnov space. |
| 基金项目:云南省自然科学基金(Grant No.2009zc013x);云南省教育厅基础科学基金(Grant No.09Y0079). |
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| 中文摘要: |
| 受 Joel H.Shapiro 和 Wayne Smith's 的工作 (Journal of Functional Analysis 205 (2003) 62-89)所启发,本文考虑了复平面上单连通区域上Hardy-Smirnov空间中复合算子的收敛性.我们还考虑了单个复合算子之迭代的收敛性.我们工作的意义在于本文的工作不可能通过简单的共形映射而由单位圆的相关结论得到. |
| 英文摘要: |
| We consider the convergence of composition operators on Hardy-Smirnov space over a simply connected domain properly contained in the complex plane. The convergence of the power of a composition operator is also considered. Our approach is a method from Joel H. Shapiro and Wayne Smith's celebrated work (Journal of Functional Analysis 205 (2003) 62-89). The resulting space is usually not the one obtained from the classical Hardy space of the unit disc by conformal mapping. |
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