The image of a finely holomorphic map is pluripolar
Armen EdigarianInstitute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, PolandSaid El MarzguiouiKdV Institute for Mathematics University of Amsterdam PO box 94248 1090 GE Amsterdam, The NetherlandsJan WiegerinckKdV Institute for Mathematics University of Amsterdam PO box 94248 1090 GE Amsterdam, The Netherlands
2009en
ABI
Аннотация
We prove that the image of a finely holomorphic map on a fine domain in $\mathbb{C}$ is a pluripolar subset of $\mathbb{C}^{n}$. We also discuss the relationship between pluripolar hulls and finely holomorphic functions.
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