The Pluripolar Hull of the Graph of A Holomorphic Function with Polar Singularities

摘要

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