Graphs that are not complete pluripolar

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dc.creatorEdigarian, Armen
dc.creatorWiegerinck, Jan
dc.date2002-03-07
dc.date.accessioned2026-07-07T04:46:53Z
dc.date.available2026-07-07T04:46:53Z
dc.descriptionLet D_1 be a subdomain of D_2 in the complex plane CC. Under very mild conditions on D_2 we show that there exist holomorphic functions f, defined on D_1 with the property that $f$ is nowhere extendible across the boundary of D_1, while the graph of f over D_1 is NOT complete pluripolar in D_2 times CC. This refutes a conjecture of Levenberg, Martin and Poletsky.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0203064
dc.identifierhttp://arxiv.org/abs/math/0203064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63510
dc.subjectComplex Variables
dc.subject32U30; 31A15
dc.titleGraphs that are not complete pluripolar
dc.typetext

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