Shcherbina's Theorem for Finely Holomorphic Functions

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dc.creatorEdigarian, Armen
dc.creatorWiegerinck, Jan
dc.date2008-10-27
dc.date.accessioned2026-07-07T10:13:27Z
dc.date.available2026-07-07T10:13:27Z
dc.descriptionWe prove an analogue of Sadullaev's theorem concerning the size of the set where a maximal totally real manifold can meet a pluripolar set. The manifold has to be of class C-1 only. This readily leads to a version of Shcherbina's theorem for C-1 functions f that are defined in a neighborhood of certain compact sets K in the complex plane. If the graph of f on K is pluripolar, then f satisfies the Cauchy Riemann equations in the closure of the fine interior of K.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/0810.4878
dc.identifierhttp://arxiv.org/abs/0810.4878
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172534
dc.subjectComplex Variables
dc.subject32U15; 32H40; 31C40
dc.titleShcherbina's Theorem for Finely Holomorphic Functions
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