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

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

2002-08-02

arxiv.org/abs/math/0208016v1

Mathematics

Complex Variables

15 pages

Scientific paper

We study the pluripolar hull of the graph of a holomorphic function f,
defined on a domain D in the complex plane outside a polar set A of D. This
leads to a theorem that describes under what conditions f is nowhere extendable
over A, while the graph of f over D \ A is NOT complete pluripolar.

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