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Logarithmic capacity and Bergman functions

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Abstract.

Upper and lower estimates for the Bergman kernel and the Bergman metric in dimension one are given in terms of the logarithmic capacity; some of their applications are added.

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Authors and Affiliations

  1. Fachbereich Mathematik, Carl von Ossietzky Universität Oldenburg, 2503, 26111, Oldenburg, Germany

    Peter Pflug

  2. Matematyki, Universytet Jagielloński, Reymonta 4, 30-059, Kraków, Poland

    Włodzimierz Zwonek

Authors
  1. Peter Pflug
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  2. Włodzimierz Zwonek
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Corresponding authors

Correspondence to Peter Pflug or Włodzimierz Zwonek.

Additional information

The second named author started the work on the paper while he was a guest at the Max Planck Institut für Mathematik in Bonn, Germany.

The research was partially supported by the KBN grant No. 5 P03A 033 21 and by the Niedersächsisches Ministerium für Wissenschaften und Kunst, AZ. 15.3-50 113(55) PL.

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Pflug, P., Zwonek, W. Logarithmic capacity and Bergman functions. Arch. Math. 80, 536–552 (2003). https://doi.org/10.1007/s0013-003-0096-6

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  • DOI: https://doi.org/10.1007/s0013-003-0096-6

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