The image of a finely holomorphic map is pluripolar
Volume 97 / 2010
Annales Polonici Mathematici 97 (2010), 137-149
MSC: 32U15, 31C40.
DOI: 10.4064/ap97-2-3
Abstract
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.