The pluripolar hull of the graph of a holomorphic function with polar singularities

Abstract

We study the pluripolar hull of the graph of a holomorphic function f, defined on a domain D ⊂ C outside a polar set A ⊂ D. This leads to a theorem that describes under what conditions f is nowhere extendible over A, while the graph of f over C A is not complete pluripolar.

Identifiers

DOI

10.1512/iumj.2003.52.2366

Citations and references