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On hyperbolicity of pseudoconvex Reinhardt domains

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Abstract.

We give a characterization of Kobayashi hyperbolicity of pseudoconvex Reinhardt domains. All such domains turn out to be biholomorphic to a bounded Reinhardt domain. In particular, any Kobayashi hyperbolic pseudoconvex Reinhardt domain is Kobayashi complete.

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Authors and Affiliations

  1. Carl von Ossietzky Universität Oldenburg, Fachbereich 6 – Mathematik, Postfach 25 03, D-26111 Oldenburg, Germany, Deutschland

    Wlodzimierz Zwonek

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  1. Wlodzimierz Zwonek
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Received: 28.1.1998; new version received 8.9.1998.

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Zwonek, W. On hyperbolicity of pseudoconvex Reinhardt domains. Arch. Math. 72, 304–314 (1999). https://doi.org/10.1007/s000130050337

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  • DOI: https://doi.org/10.1007/s000130050337

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