On the roper-suffridge extension operator

被引:1
作者
Sheng Gong
Taishun Liu
机构
[1] University of Science and Technology of China Hefei,Department of Mathematics
来源
Journal d’Analyse Mathématique | 2002年 / 88卷
关键词
Unit Disk; Extension Operator; Pseudoconvex Domain; Bloch Mapping; Biholomorphic Mapping;
D O I
暂无
中图分类号
学科分类号
摘要
In 1995, Roper and Suffridge defined an extension operator which maps a locally biholomorphic function on the unit diskD in ℂ to a locally biholomorphic mapping on the unit ballBn in ℂn. This extension operator preserves many important properties, e.g., convexity and starlikeness, etc. In this note, we introduce the family ofε starlike mappings, and prove that the Roper-Suffridge extension operator preserves theε starlikeness on some Reinhardt domains. This result includes many known results and solves an open problem of Graham and Kohr.
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页码:397 / 404
页数:7
相关论文
共 15 条
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