Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (3): 343-349.

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The Extremal Problem on Cartan-egg Domain of the First Type

  

  1. 1. School of Mathematical Sciences, Xuzhou Normal University2. Kewen Institute, Xuzhou Normal University

  • Received:2009-07-11 Online:2011-09-30 Published:2023-04-18
  • About author: SU Jian-bing(1964-), male, native of Xuzhou, Jiangsu, a professor of Xuzhou Normal University, Ph.D., engages in several complex analysis.
  • Supported by:
     Supported by the SF of Jiangsu Province Education(07KJB110115)；

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Abstract: In this paper, we study the extremal problem on Cartan-egg domain of the first type by using some inequalities. The extremal mapping and extremal value between the first type of Cartan-egg domain and the unit ball when k≤1 and k=2, m=2 are constructed.

Key words:  extremal problem, Cartan-egg domain, the minimal circumscribed ellipsoid

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