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

Armen Edigarian·Jan Wiegerinck
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Abstract

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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Armen Edigarian, Jan Wiegerinck. 2002-08-02. The pluripolar hull of the graph of a holomorphic function with polar singularities. https://arxiv.org/abs/math/0208016

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