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

• 作 者: AHN Heung-ju PARK Jong-do
• 机 构: DepartmentofMathematicalSciences,SchoolofMathematics
• 出 处: 中国科学：数学英文版
• 发表日期: 2009年8期
• 关键词: Hartogs domain MINIMAL circumscribed HERMITIAN ELLIPSOID EXTREMAL problem Hartog
• 基金项目: 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 (

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 calc