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The Kelvin–Nevanlinna–Royden criterion for p-parabolicity

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Abstract.

We generalize the so called Kelvin–Nevanlinna–Royden criterion for the parabolicity of manifolds to the case of p-parabolicity for all \(1 < p < \infty\).

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Authors and Affiliations

  1. Department of Mathematics, Ben Gurion University of The Negev, P.O. Box 653, 84105 Beer Sheva, Israel (e-mail: vladimir@bgumail.bgu.ac.il), , , , , , IL

    Vladimir Gol'dshtein

  2. Département de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland (e-mail: troyanov@math.epfl.ch), , , , , , CH

    Marc Troyanov

Authors
  1. Vladimir Gol'dshtein
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  2. Marc Troyanov
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Received July 29, 1998; in final form September 25, 1998

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Gol'dshtein, V., Troyanov, M. The Kelvin–Nevanlinna–Royden criterion for p-parabolicity. Math Z 232, 607–619 (1999). https://doi.org/10.1007/PL00004775

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  • DOI: https://doi.org/10.1007/PL00004775

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