关于局部双全纯映射的推广的Roper-Suffridge算子

数学季刊 ›› 2003, Vol. 18 ›› Issue (3): 221-229.

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关于局部双全纯映射的推广的Roper-Suffridge算子

The GeneDepartment of Mathematics, University of Science and Technology of C hina, Hefei 230026, China

收稿日期:2003-03-16 出版日期:2003-09-30 发布日期:2024-04-08
作者简介:LIU Xiao-song（1968－）,male ,native of Shaoyang ,Hunan ,doctor ’s graduate student ,engages in several complex analysis research；LIU Tai-shun（1957－）,male ,native of Huoshan ,Anhui ,a professor of University of Science and Technology of China ,Ph．D．,engages in several complex analysis research .
基金资助:
Supported by the 973plan（G1999075105）

The Generalized Roper-Suffridge Extension Operator for Locally Biholomorphic Mappings

The GeneDepartment of Mathematics, University of Science and Technology of C hina, Hefei 230026, China

Received:2003-03-16 Online:2003-09-30 Published:2024-04-08
About author:LIU Xiao-song（1968－）,male ,native of Shaoyang ,Hunan ,doctor ’s graduate student ,engages in several complex analysis research；LIU Tai-shun（1957－）,male ,native of Huoshan ,Anhui ,a professor of University of Science and Technology of China ,Ph．D．,engages in several complex analysis research .
Supported by:
Supported by the 973plan（G1999075105）

摘要/Abstract

摘要： In this paper ,we introduce the generalized Roper-Suffridge extension operator for locally bi- holomorphic mappings．It is shown that this operator preserves the starlikeness on some Reinhardt do- mains and does not preserve convexity for some cases ．Meanwhile ,the growth theorem and distortion theorem of the corresponding mappings are given .

关键词: biholomorphic mappings, starlike mappings and convex mappings, the generalized Roper- Suffridge extension operator

Abstract: In this paper ,we introduce the generalized Roper-Suffridge extension operator for locally bi- holomorphic mappings．It is shown that this operator preserves the starlikeness on some Reinhardt do- mains and does not preserve convexity for some cases ．Meanwhile ,the growth theorem and distortion theorem of the corresponding mappings are given .

Key words: biholomorphic mappings, starlike mappings and convex mappings, the generalized Roper- Suffridge extension operator

中图分类号:

O174．56

刘小松, 刘太顺. 关于局部双全纯映射的推广的Roper-Suffridge算子[J]. 数学季刊, 2003, 18(3): 221-229.

LIU Xiao-song, LIU Tai-shun . The Generalized Roper-Suffridge Extension Operator for Locally Biholomorphic Mappings[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(3): 221-229.

关于局部双全纯映射的推广的Roper-Suffridge算子

The Generalized Roper-Suffridge Extension Operator for Locally Biholomorphic Mappings

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