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Jensen measures, hyperconvexity and boundary behaviour of the pluricomplex Green function
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
1999 (English)In: Annales Polonici Mathematici, ISSN 0066-2216, Vol. 71, no 1, 87-103 p.Article in journal (Refereed) Published
Abstract [en]

We characterise hyperconvexity in terms of Jensen measures with barycentre at a boundary point. We also give an explicit formula for the pluricomplex Green function in the Hartogs' triangle. Finally we study the behaviour of the pluricomplex Green function $g(z,w)$ as the pole $w$ tends to a boundary point.

Place, publisher, year, edition, pages
1999. Vol. 71, no 1, 87-103 p.
Keyword [en]
Jensen measures, hyperconvex domains, pluricomplex Green functions
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-4046Local ID: 4534OAI: oai:DiVA.org:miun-4046DiVA: diva2:29078
Available from: 2008-09-30 Created: 2008-09-30 Last updated: 2011-04-04Bibliographically approved

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CiteExportLink to record
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