Shcherbina’s theorem for finely holomorphic functions
| Authors |
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|---|---|
| Publication date | 2010 |
| Journal | Mathematische Zeitschrift |
| Volume | Issue number | 266 | 2 |
| Pages (from-to) | 393-398 |
| Organisations |
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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. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.1007/s00209-009-0574-z
(Final published version)
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