Minimal circumscribed Hermitian ellipsoid of Hartogs domains and an application to an extremal problem

被引:0
作者
Wang An [1 ]
Heung-Ju, Ahn [2 ]
Jong-Do, Park [3 ]
机构
[1] Capital Normal Univ, Dept Math, Beijing 100048, Peoples R China
[2] Seoul Natl Univ, Dept Math Sci, Seoul 151742, South Korea
[3] Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea
来源
SCIENCE IN CHINA SERIES A-MATHEMATICS | 2009年 / 52卷 / 08期
基金
中国国家自然科学基金; 北京市自然科学基金;
关键词
Hartogs domain; minimal circumscribed Hermitian ellipsoid; extremal problem; BOUNDED SYMMETRIC DOMAINS; HUA DOMAIN;
D O I
10.1007/s11425-009-0003-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we construct circumscribed Hermitian ellipsoids of Hartogs domains of least volume and as an application, we obtain the Carath,odory extremal mappings between the Hartogs domains and the unit ball, and also give an explicit formula for calculating the extremal values.
引用
收藏
页码:1699 / 1716
页数:18
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