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Radially symmetric plurisubharmonic functions
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.
2012 (English)In: Annales Polonici Mathematici, ISSN 0066-2216, E-ISSN 1730-6272, Vol. 106, 1-17 p.Article in journal (Refereed) Published
Abstract [en]

In this note we consider radially symmetric plurisubharmonic functions and the complex Monge–Ampère operator. We prove among other things a complete characterization of unitary invariant measures for which there exists a solution of the complex Monge–Ampère equation in the set of radially symmetric plurisubharmonic functions. Furthermore, we prove in contrast to the general case that the complex Monge–Ampère operator is continuous on the set of radially symmetric plurisubharmonic functions. Finally we characterize radially symmetric plurisubharmonic functions among the subharmonic ones using merely the laplacian.

Place, publisher, year, edition, pages
2012. Vol. 106, 1-17 p.
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:umu:diva-50907DOI: 10.4064/ap106-0-1ISI: 000311525700001OAI: oai:DiVA.org:umu-50907DiVA: diva2:471101
Available from: 2012-01-01 Created: 2012-01-01 Last updated: 2017-12-08Bibliographically approved

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Åhag, PerPersson, Leif
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