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Approximation and Bounded Plurisubharmonic Exhaustion Functions Beyond Lipschitz Domains
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
Department of mathematics and mathematical statistics, Umeå University.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
(English)Manuscript (preprint) (Other academic)
Abstract [en]

Using techniques from the analysis of PDEs to studythe boundary behaviour of functions on domains with low boundaryregularity, we extend results by Fornaæss-Wiegerinck (1989)on plurisubharmonic approximation and by Demailly (1987) onthe existence on bounded plurisubharmonic exhaustion functionsto domains beyond Lipschitz boundary regularity.

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Mathematical Analysis
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URN: urn:nbn:se:uu:diva-186266OAI: oai:DiVA.org:uu-186266DiVA: diva2:572810
Available from: 2012-11-30 Created: 2012-11-28 Last updated: 2013-02-12Bibliographically approved

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