典型域上凸映射的一个映射性质

冯淑霞, 李鸿军

doi:10.13371/j.cnki.chin.q.j.m.2014.02.020

数学季刊 >

2014 , Vol. 29 >Issue 2: 292 - 297

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.02.020

典型域上凸映射的一个映射性质

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Institute of Contemporary Mathematics, College of Mathematics and Information Science, Henan University

FENG Shu-xia(1975-), female, native of Yuanyang, Henan, an associate professor of Henan University, Ph.D., engages in function theory of SCV; LI Hong-jun(1986-), male, native of Fugou, Henan, a graduate student of Henan University.

收稿日期: 2013-05-16

网络出版日期: 2023-04-10

基金资助

Supported by the National Natural Science Foundation of China(11001074,11061015,11101124)

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A Property of Convex Mappings on the Classical Domains

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Institute of Contemporary Mathematics, College of Mathematics and Information Science, Henan University

Received date: 2013-05-16

Online published: 2023-04-10

Supported by

Supported by the National Natural Science Foundation of China(11001074,11061015,11101124)

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摘要

In this paper, we give a property of normalized biholomorphic convex mappings on the first, second and third classical domains: for any Z₀belongs to the classical domains, f maps each neighbourhood with the center Z₀, which is contained in the classical domains, to a convex domain.

关键词： classical domains; convex mappings; convex domains

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冯淑霞, 李鸿军 . 典型域上凸映射的一个映射性质[J]. 数学季刊, 2014 , 29(2) : 292 -297 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.02.020

Abstract

Key words： classical domains; convex mappings; convex domains

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