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A Note on the Hyperconvexity of Pseudoconvex Domains Beyond Lipschitz Regularity

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Abstract

We show that bounded pseudoconvex domains that are Hölder continuous for all α < 1 are hyperconvex, extending the well-known result by Demailly (Math. Z. 194(4) 519–564, 1987) beyond Lipschitz regularity.

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Author information

Author notes

  1. Benny Avelin

    Present address: Institute of Mathematics, Aalto University, P.O. Box 11100, FI-00076, Aalto, Finland

Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35, 40014, Jyväskylä, Finland

    Benny Avelin

  2. Department of Mathematics and Mathematical Statistics, Umeå University, SE-901 87, Umeå, Sweden

    Lisa Hed

  3. Department of Mathematics, Uppsala University, SE-751 06, Uppsala, Sweden

    Håkan Persson

Authors
  1. Benny Avelin
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  2. Lisa Hed
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  3. Håkan Persson
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Corresponding author

Correspondence to Benny Avelin.

Additional information

The first author was supported by Academy of Finland, project #259224

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Avelin, B., Hed, L. & Persson, H. A Note on the Hyperconvexity of Pseudoconvex Domains Beyond Lipschitz Regularity. Potential Anal 43, 531–545 (2015). https://doi.org/10.1007/s11118-015-9486-1

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  • DOI: https://doi.org/10.1007/s11118-015-9486-1

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