Plurisubharmonic functions with weak singularities

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dc.creatorBenelkourchi, S.
dc.creatorGuedj, V.
dc.creatorZeriahi, A.
dc.date2008-02-22
dc.date.accessioned2026-07-07T09:22:44Z
dc.date.available2026-07-07T09:22:44Z
dc.descriptionWe study the complex Monge-Ampère operator in bounded hyperconvex domains of $\C^n$. We introduce a scale of classes of weakly singular plurisubharmonic functions : these are functions of finite weighted Monge-Ampère energy. They generalize the classes introduced by U.Cegrell, and give a stratification of the space of (almost) all unbounded plurisubharmonic functions. We give an interpretation of these classes in terms of the speed of decreasing of the Monge-Ampère capacity of sublevel sets and solve associated complex Monge-Ampère equations.
dc.description15 pages, dedicated to Christer Kiselman on the occasion of his retirement
dc.identifierhttps://arxiv.org/abs/0802.3265
dc.identifierhttp://arxiv.org/abs/0802.3265
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155482
dc.subjectComplex Variables
dc.subject32W20, 32U05, 32U15
dc.titlePlurisubharmonic functions with weak singularities
dc.typetext

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