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Original Articles

On the product property for the Lempert function

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Pages 939-952 | Received 24 Sep 2004, Accepted 02 Mar 2005, Published online: 31 Aug 2006

References

References

  • Jarnicki M Pflug P 1993 Invariant Distances and Metrics in Complex Analysis Berlin, New York Walter de Gruyter
  • Dieu , NQ and Trao , NV . 2003 . Product property of certain extremal functions . Complex Variables , 48 : 681 – 694 .
  • Nikolov N Pflug P 2005 The multipole Lempert function is monotone under inclusion of sets Michigan Mathematical Journal (To appear)
  • Edigarian , A . 2002 . Analytic discs method in complex analysis . Dissertationes Mathematicae , 402 : 56
  • Jarnicki , M and Pflug , P . 2005 . Invariant distances and metrics in complex analysis – revisited . Dissertationes Mathematicae , 430 : 192
  • Wikström , F . 2001 . Non-linearity of the pluricomplex Green function . Proceedings of the American Mathematical Society , 129 : 1051 – 1056 .
  • Wikström F 2004 Qualitative properties of biholomorphically invariant functions with multiple poles (Preprint)
  • Nikolov , N and Zwonek , W . 2004 . Some remarks on the Green function and the Azukawa pseudometric . Monatshefte für Mathematik , 142 : 341 – 350 .
  • Costara , C . 2004 . The symmetrized bidisc as a counterexample to the converse of Lempert's theorem . The Bulletin of the London Mathematical Society , 36 : 656 – 662 .

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