Local Indicators for Plurisubharmonic Functions

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dc.creatorLelong, Pierre
dc.creatorRashkovskii, Alexander
dc.date1999-01-05
dc.date.accessioned2026-07-07T05:27:27Z
dc.date.available2026-07-07T05:27:27Z
dc.descriptionA notion of local indicator for a plurisubharmonic function is introduced. The indicator is a certain plurisubharmonic function in the unit polydisc, which controls the behavior of the considered function near a fixed point of its singularity, as well as the residual Monge-Ampere mass of the function at this point. A pluricomplex Green function with respect to given indicators is constructed and applied to the Dirichlet problem for the Monge- Ampere operator in the class of plurisubharmonic functions with isolated singularities.
dc.description18 pages, LaTeX; to appear in J. Math. Pures Appl
dc.identifierhttps://arxiv.org/abs/math/9901014
dc.identifierhttp://arxiv.org/abs/math/9901014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77924
dc.subjectComplex Variables
dc.subject32F05, 32F07
dc.titleLocal Indicators for Plurisubharmonic Functions
dc.typetext

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