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The general definition of the complex Monge-Ampere operator
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
2004 (English)In: Annales de l'Institut Fourier, ISSN 0373-0956, Vol. 54, no 1, 159-179 p.Article in journal (Refereed) Published
Abstract [en]

We define and study the domain of definition for the complex Monge-Ampere operator. This domain is the most general if we require the operator to be continuous under decreasing limits. The domain is given in terms of approximation by certain "test"-plurisubharmonic functions. We prove estimates, study of decomposition theorem for positive measures and solve a Dirichlet problem.

Place, publisher, year, edition, pages
2004. Vol. 54, no 1, 159-179 p.
Keyword [en]
complex Monge-Ampere operator
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-2804ISI: 000222526300007Local ID: 2348OAI: oai:DiVA.org:miun-2804DiVA: diva2:27836
Available from: 2008-09-30 Created: 2008-09-30 Last updated: 2011-04-08Bibliographically approved

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CiteExportLink to record
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  • apa
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