Radially symmetric plurisubharmonic functions
2012 (Engelska)Ingår i: Annales Polonici Mathematici, ISSN 0066-2216, E-ISSN 1730-6272, Vol. 106, s. 1-17Artikel i tidskrift (Refereegranskat) 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.
Ort, förlag, år, upplaga, sidor
2012. Vol. 106, s. 1-17
Nationell ämneskategori
Matematisk analys
Identifikatorer
URN: urn:nbn:se:umu:diva-50907DOI: 10.4064/ap106-0-1ISI: 000311525700001Scopus ID: 2-s2.0-84873465878OAI: oai:DiVA.org:umu-50907DiVA, id: diva2:471101
2012-01-012012-01-012023-03-23Bibliografiskt granskad