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A note on the hyperconvexity of pseudoconvex domains beyond Lipschitz regularity
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Probability Theory.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Probability Theory.
2015 (English)In: Potential Analysis, ISSN 0926-2601, E-ISSN 1572-929X, Vol. 43, no 3, 531-545 p.Article in journal (Refereed) Published
Abstract [en]

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. 184 1987) beyond Lipschitz regularity. 

Place, publisher, year, edition, pages
Håkan Persson , 2015. Vol. 43, no 3, 531-545 p.
Keyword [en]
plurisubharmonic functions, continuous boundary, hyperconvexity, bounded exhaustion function, Hölder for all exponents, log-lipschitz, boundary regularity, Reinhardt domains.
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-251330DOI: 10.1007/s11118-015-9486-1ISI: 000365769100010OAI: oai:DiVA.org:uu-251330DiVA: diva2:805439
Available from: 2015-04-15 Created: 2015-04-15 Last updated: 2017-12-04Bibliographically approved

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Avelin, BennyPersson, Håkan

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