多复变中的Alexander型定理

数学季刊 ›› 2013, Vol. 28 ›› Issue (2): 290-296.

多复变中的Alexander型定理

1. Department of Mathematics, Huanghuai College 2. Department of Mathematics, Xuchang Vocational Technical College 3. Institute of Mathematics, College of Mathematics and Information Science, Henan University

收稿日期:2011-12-31 出版日期:2013-06-30 发布日期:2023-03-03
作者简介:LIU Ai-chao(1977-), male, native of Zhengzhou, Henan, a lecturer of Huanghuai College,M.S.D., engages in complex analysis; YAN Chun-yan(1979-), female, native of Zhumadian, Henan, a lecturer of Xuchang Vocational Technical College, engages in complex analysis; DUAN Xiao-ling(1986-), female, native of Nanyang, Henan, M.S.D., Henan University, engages in complex analysis; LIU Hao(1964-), male, native of Zhumadian, Henan, a professor of Henan University, Ph.D., engages in complex analysis.
基金资助:
Supported by the NSFC(11271359)

The Alexander Type Theorem in Several Complex Variables

1. Department of Mathematics, Huanghuai College 2. Department of Mathematics, Xuchang Vocational Technical College 3. Institute of Mathematics, College of Mathematics and Information Science, Henan University

Received:2011-12-31 Online:2013-06-30 Published:2023-03-03
About author:IU Ai-chao(1977-), male, native of Zhengzhou, Henan, a lecturer of Huanghuai College,M.S.D., engages in complex analysis; YAN Chun-yan(1979-), female, native of Zhumadian, Henan, a lecturer of Xuchang Vocational Technical College, engages in complex analysis; DUAN Xiao-ling(1986-), female, native of Nanyang, Henan, M.S.D., Henan University, engages in complex analysis; LIU Hao(1964-), male, native of Zhumadian, Henan, a professor of Henan University, Ph.D., engages in complex analysis.
Supported by:
Supported by the NSFC(11271359)

摘要/Abstract

摘要： In this paper, the Alexander type theorem in several complex variables is given by using the parametric representation of a kind of starlike mappings. As a corollary, a new method is set up to prove that the Roper-Suffridge extension operator keeps the property of starlike.

关键词: starlike mappings, parametric representation, Roper-Suffridge extension operator

Abstract: In this paper, the Alexander type theorem in several complex variables is given by using the parametric representation of a kind of starlike mappings. As a corollary, a new method is set up to prove that the Roper-Suffridge extension operator keeps the property of starlike.

Key words: starlike mappings, parametric representation, Roper-Suffridge extension operator

中图分类号:

O174.51

刘爱超, 闫春燕, 段晓玲, 刘浩. 多复变中的Alexander型定理[J]. 数学季刊, 2013, 28(2): 290-296.

LIU Ai-chao, YAN Chun-yan, DUAN Xiao-ling, LIU Hao. The Alexander Type Theorem in Several Complex Variables[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(2): 290-296.

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