Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008
qr-code QR
Code

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2007; 44(6): 1291-1312

Printed November 1, 2007

Copyright © The Korean Mathematical Society.

Extremal problems on the Cartan-Hartogs domains

An Wang, Xin Zhao, and Zhiyin Liu

Capital Normal University, Capital Normal University, Capital Normal University

Abstract

Go to

We study some extremal problems on the Cartan-Hartogs domains. Through computing the minimal circumscribed Hermitian ellipsoid of the Cartan-Hartogs domains, we get the Carath\'{e}odory extremal mappings between the Cartan-Hartogs domains and the unit hyperball, and the explicit formulas for computing the Carath\'{e}odory extremal value.

Keywords: extremal problem, Cartan-Hartogs domain, minimal circumscribed Hermitian ellipsoid.

MSC numbers: 32H02, 32F45

Article Tools

Stats or Metrics

Share this article on :

Related articles in JKMS

more +