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Vector spaces of delta-plurisubharmonic functions and extensions of the complex Monge-Ampere operator
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.
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. 422, no 2, 960-980 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we shall consider two types of vector ordering on the vector space of differences of negative plurisubharmonic functions, and the problem whether it is possible to construct supremum and infimum. Then we consider two different approaches to define the complex Monge-Ampere operator on these vector spaces, and we solve some Dirichlet problems. We end this paper by stating and discussing some open problems.

Place, publisher, year, edition, pages
2015. Vol. 422, no 2, 960-980 p.
Keyword [en]
Complex Monge-Ampere operator, Delta-plurisubharmonic function, Pluricomplex energy, urisubharmonic function, Vector ordering
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:umu:diva-98542DOI: 10.1016/j.jmaa.2014.09.022ISI: 000344911800012OAI: oai:DiVA.org:umu-98542DiVA: diva2:784719
Available from: 2015-01-30 Created: 2015-01-23 Last updated: 2017-12-05Bibliographically approved

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Åhag, PerCegrell, Urban

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