The image of a finely holomorphic map is pluripolar
Complex Variables
2008-01-30 v3
Abstract
We prove that the image of a finely holomorphic map on a fine domain in is pluripolar subset of . We also discuss the relationship between pluripolar hulls and finely holomorphic function.
Cite
@article{arxiv.math/0701136,
title = {The image of a finely holomorphic map is pluripolar},
author = {Armen Edigarian and Said El Marzguioui and Jan Wiegerinck},
journal= {arXiv preprint arXiv:math/0701136},
year = {2008}
}
Comments
15 pages, revised version: an example is added, Theorem 1.1 has been generalized to functions of several variables