The image of a finely holomorphic map is pluripolar

Abstract

We prove that the image of a finely holomorphic map on a fine domain in $\mathbb{C}$ is pluripolar subset of ${\mathbb{C}}^n$. We also discuss the relationship between pluripolar hulls and finely holomorphic function.

15 pages, revised version: an example is added, Theorem 1.1 has been generalized to functions of several variables

Cited by in corpus (1)

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