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Jensen measures and boundary values of plurisubharmonic functions
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
Responsible organisation
2001 (English)In: Arkiv för matematik, ISSN 0004-2080, E-ISSN 1871-2487, Vol. 39, no 1, 181-200 p.Article in journal (Refereed) Published
Abstract [en]

We study different classes of Jensen measures for plurisubharmonic functions, in particular the relation between Jensen measures for continuous functions and Jensen measures for upper bounded functions. We prove an approximation theorem for plurisubharmonic functions in B-regular domain. This theorem implies that the two classes of Jensen measures coincide in B-regular domains. Conversely we show that if Jensen measures for continuous functions are the same as Jensen measures for upper bounded functions and the domain is hyperconvex, the domain satisfies the same approximation theorem as above. The paper also contains a characterisation in terms of Jensen measures of those continuous functions that are boundary values of a continuous plurisubharmonic function.

Place, publisher, year, edition, pages
2001. Vol. 39, no 1, 181-200 p.
Keyword [en]
Jensen measures, boundary values
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-4053DOI: 10.1007/BF02388798Local ID: 4542OAI: oai:DiVA.org:miun-4053DiVA: diva2:29085
Available from: 2008-09-30 Created: 2008-09-30 Last updated: 2011-05-29Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
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