| Authors |
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| Publication date |
2010
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| Journal |
Mathematische Zeitschrift
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| Volume | Issue number |
266 | 2
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| Pages (from-to) |
393-398
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| Organisations |
-
Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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| Abstract |
We 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.
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| Document type |
Article
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| Language |
English
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| Published at |
https://doi.org/10.1007/s00209-009-0574-z
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