Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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EXTREMAL PROBLEMS ON THE CARTAN-HARTOGS DOMAINS

  • Wang, An (DEPARTMENT OF MATHEMATICS CAPITAL NORMAL UNIVERSITY) ;
  • Zhao, Xin (DEPARTMENT OF MATHEMATICS CAPITAL NORMAL UNIVERSITY) ;
  • Liu, Zhiyin (DEPARTMENT OF MATHEMATICS CAPITAL NORMAL UNIVERSITY)
  • Published : 2007.11.30
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Abstract

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 $Carath\acute{e}odory$ extremal mappings between the Cartan-Hartogs domains and the unit hyperball, and the explicit formulas for computing the $Carath\acute{e}odory$ extremal value.

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References

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Cited by

  1. Minimal circumscribed Hermitian ellipsoid of Hartogs domains and an application to an extremal problem vol.52, pp.8, 2009, https://doi.org/10.1007/s11425-009-0003-0