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A Montel Type Result for Super-Polyharmonic Functions on RN

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Abstract

Our aim in this paper is to discuss a Montel type result for a family \({\mathcal F}\) of super-polyharmonic functions on R N. We give a condition on spherical means to assure that \({\mathcal F}\) contains a sequence converging outside a set of capacity zero.

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Authors and Affiliations

  1. Department of Mathematics, Daido University, Nagoya, 457-8530, Japan

    Toshihide Futamura

  2. Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, 739-8526, Japan

    Keiji Kitaura

  3. Department of Mathematics, Hiroshima University, Higashi-Hiroshima, 739-8521, Japan

    Yoshihiro Mizuta

Authors
  1. Toshihide Futamura
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  2. Keiji Kitaura
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  3. Yoshihiro Mizuta
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Correspondence to Toshihide Futamura.

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Futamura, T., Kitaura, K. & Mizuta, Y. A Montel Type Result for Super-Polyharmonic Functions on RN . Potential Anal 34, 89–100 (2011). https://doi.org/10.1007/s11118-010-9183-z

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  • DOI: https://doi.org/10.1007/s11118-010-9183-z

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