A Property of Convex Mappings on the&nbsp;Classical Domains

FENG Shu-xia, LI Hong-jun

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

Chinese Quarterly Journal of Mathematics >

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

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

A Property of Convex Mappings on the Classical Domains

Expand

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.

Received date: 2013-05-16

Online published: 2023-04-10

Supported by

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

Fold

Abstract

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.

Key words： classical domains; convex mappings; convex domains

Cite this article

FENG Shu-xia, LI Hong-jun . A Property of Convex Mappings on the Classical Domains[J]. Chinese Quarterly Journal of Mathematics, 2014 , 29(2) : 292 -297 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.02.020

Options

Outlines

模态框（Modal）标题

Abstract

Cite this article