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

作　　者：AHN Heung-ju PARK Jong-do 

机构地区：[1]Department of Mathematical Sciences, Seoul National University [2]School of Mathematics, Korea Institute for Advanced Study, Hoegiro 87, Dongdaemun-gu, Seoul 130-722, Korea

出　　处：《Science China Mathematics》2009年第8期1699-1716,共18页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 10771144);the BeijingNatural Science Foundation (Grant No. 1082005);the Korea Research Foundation Grant Funded by KoreaGovernment (MOEHRD, Basic Research Promotion Fund) (Grant No. KRF-2005-070-C00007)

摘　　要：In this paper we construct circumscribed Hermitian ellipsoids of Hartogs domains of least volume and as an application, we obtain the Carathéodory extremal mappings between the Hartogs domains and the unit ball, and also give an explicit formula for calculating the extremal values.In this paper we construct circumscribed Hermitian ellipsoids of Hartogs domains of least volume and as an application, we obtain the Carath′eodory extremal mappings between the Hartogs domains and the unit ball, and also give an explicit formula for calculating the extremal values.

关 键 词：Hartogs domain minimal circumscribed Hermitian ellipsoid extremal problem 32H02 32F45 

分 类 号：O153.4[理学—数学]