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An ordering of measures induced by plurisubharmonic functions
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2017 (English)In: Annales Polonici Mathematici, ISSN 0066-2216, E-ISSN 1730-6272, Vol. 119, no 3, p. 221-237Article in journal (Refereed) Published
Abstract [en]

We study an ordering of measures induced by plurisubharmonic functions. This ordering arises naturally in connection with problems related to negative plurisubharmonic functions. We study maximality with respect to the ordering and a related notion of minimality for certain plurisubharmonic functions. The ordering is then applied to the problem of weak*-convergence of measures, in particular Monge Ampere measures.

Place, publisher, year, edition, pages
POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN , 2017. Vol. 119, no 3, p. 221-237
Keywords [en]
Monge Ampere measure, partial order, plurisubharmonic function, weak*-convergence
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-143546DOI: 10.4064/ap4104-3-2017ISI: 000417986400003OAI: oai:DiVA.org:umu-143546DiVA, id: diva2:1170658
Available from: 2018-01-04 Created: 2018-01-04 Last updated: 2018-06-09Bibliographically approved

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Bengtson, Berit

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