We prove that the image of a finely holomorphic map on a fine domain in ℂ is a pluripolar subset of ℂⁿ. We also discuss the relationship between pluripolar hulls and finely holomorphic functions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap97-2-3, author = {Armen Edigarian and Said El Marzguioui and Jan Wiegerinck}, title = {The image of a finely holomorphic map is pluripolar}, journal = {Annales Polonici Mathematici}, volume = {98}, year = {2010}, pages = {137-149}, zbl = {1221.32017}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap97-2-3} }
Armen Edigarian; Said El Marzguioui; Jan Wiegerinck. The image of a finely holomorphic map is pluripolar. Annales Polonici Mathematici, Tome 98 (2010) pp. 137-149. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap97-2-3/