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A Note on the Hyperconvexity of Pseudoconvex Domains Beyond Lipschitz Regularity
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2015 (English)In: Potential Analysis, ISSN 0926-2601, E-ISSN 1572-929X, Vol. 43, no 3, 531-545 p.Article in journal (Refereed) Published
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Text
Abstract [en]

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

Place, publisher, year, edition, pages
Springer Netherlands, 2015. Vol. 43, no 3, 531-545 p.
Keyword [en]
Plurisubharmonic functions, Continuous boundary, Hyperconvexity, Bounded exhaustion function, lder for all exponents, Log-Lipschitz, Boundary regularity, Reinhardt domains
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-113751DOI: 10.1007/s11118-015-9486-1ISI: 000365769100010OAI: oai:DiVA.org:umu-113751DiVA: diva2:889727
Available from: 2015-12-28 Created: 2015-12-28 Last updated: 2015-12-28Bibliographically approved

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CiteExportLink to record
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Citation style
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