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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2017; 54(6): 1683-1698

Online first article September 12, 2017      Printed November 1, 2017

https://doi.org/10.4134/JKMS.j160579

Copyright © The Korean Mathematical Society.

The extremal problem on Hua domain

Sujuan Long

Guilin University of Electronic Technology

Abstract

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In this paper, we study the Carath\'{e}odory extremal problems on the Hua domain of the first three types. We give the explicit formula for the Carath\'{e}odory extremal problems between the first three types of Hua domain and the unit ball, which improves the works done on Hua domain and Cartan-egg domain and super-Cartan domain.

Keywords: extremal problem, Hua domain, minimal circumscribed Hermitian ellipsoid

MSC numbers: 32H02, 32F45

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