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The equation of complex Monge-Amp`ere type and stability of solutions
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics. Department of Mathematics, Umeå University, Umeå.
Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland.
2003 (English)In: Mathematische Annalen, ISSN 0025-5831, Vol. 334, no 4, 713-729 p.Article in journal (Refereed) Published
Abstract [en]

We prove that in a family of plurisubharmonic functions with Monge-Ampère measures bounded from above by such a measure of one function weak convergence is equivalent to convergence in capacity. We also show a very general statement on the existence of solutions of the complex Monge-Ampère type equation.

Place, publisher, year, edition, pages
2003. Vol. 334, no 4, 713-729 p.
Keyword [en]
Equation of complex Monge-Amp`ere type and stability of solutions
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-3416DOI: 10.1007/s00208-005-0687-6ISI: 000236273700001Scopus ID: 2-s2.0-33644920947Local ID: 3399OAI: oai:DiVA.org:miun-3416DiVA: diva2:28448
Available from: 2008-09-30 Created: 2008-09-30 Last updated: 2016-09-27Bibliographically approved

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