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Monge-Ampère measures on subvarieties
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2015 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 423, 94-105 p.Article in journal (Refereed) Published
Abstract [en]

In this article we address the question whether the complex Monge-Ampere equation is solvable for measures with large singular part. We prove that under some conditions there is no solution when the right-hand side is carried by a smooth subvariety in C-n of dimension k < n.

Place, publisher, year, edition, pages
2015. Vol. 423, 94-105 p.
Keyword [en]
Complex Monge-Ampere operator,  Dirichlet problem,  Pluripolar set,  Plurisubharmonic function
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:umu:diva-93533DOI: 10.1016/j.jmaa.2014.09.061ISI: 000349706000008OAI: oai:DiVA.org:umu-93533DiVA: diva2:749379
Available from: 2014-09-23 Created: 2014-09-23 Last updated: 2017-12-05Bibliographically approved

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Åhag, PerCegrell, Urban
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