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Query: faculty: "FNWI" and publication year: "2010"

AuthorsA. Edigarian, J. Wiegerinck
TitleShcherbina’s theorem for finely holomorphic functions
JournalMathematische Zeitschrift
Volume266
Year2010
Issue2
Pages393-398
ISSN00255874
FacultyFaculty of Science
Institute/dept.FNWI: Korteweg-de Vries Institute for Mathematics (KdVI)
AbstractWe prove an analogue of Sadullaev's theorem concerning the size of the set where a maximal totally real manifold M can meet a pluripolar set. M 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 subset of C. If the graph Gamma(f) (K) is pluripolar, then. partial derivative f/partial derivative z = 0 in the closure of the fine interior of K.
Document typeArticle
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