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Upper bound for the Lempert function of smooth domains

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Abstract

An upper estimate for the Lempert function of any C 1+ε-smooth bounded domain in \({\mathbb{C}^n}\) is found in terms of the boundary distance.

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Authors and Affiliations

  1. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev 8, 1113, Sofia, Bulgaria

    Nikolai Nikolov

  2. Institut für Mathematik, Carl von Ossietzky Universität Oldenburg, Postfach 2503, 26111, Oldenburg, Germany

    Peter Pflug

  3. Institut de Mathématiques, Université Paul Sabatier, 118 Route de Narbonne, 31062, Toulouse Cedex 9, France

    Pascal J. Thomas

Authors
  1. Nikolai Nikolov
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  2. Peter Pflug
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  3. Pascal J. Thomas
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Corresponding author

Correspondence to Peter Pflug.

Additional information

This paper was written during the stay of N. Nikolov at the Université Paul Sabatier, Toulouse (October 2008) supported by a CNRS programme “Convention d’échanges” No 21463 and the stay of P. Pflug at the Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences (September 2008) supported by a DFG grant 436POL113/103/0-2.

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Nikolov, N., Pflug, P. & Thomas, P.J. Upper bound for the Lempert function of smooth domains. Math. Z. 266, 425–430 (2010). https://doi.org/10.1007/s00209-009-0577-9

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  • DOI: https://doi.org/10.1007/s00209-009-0577-9

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