English

Determination of the pluripolar hull of graphs of certain holomorphic functions

Complex Variables 2007-05-23 v1

Abstract

Let A be a closed polar subset of a domain D in the complex plane C. We give a complete description of the pluripolar hull in D X C of the graph of a holomorphic function defined on D A. To achieve this, we prove for pluriharmonic measure certain semi-continuity properties and a localization principle.

Keywords

Cite

@article{arxiv.math/0310239,
  title  = {Determination of the pluripolar hull of graphs of certain holomorphic functions},
  author = {Armen Edigarian and Jan Wiegerinck},
  journal= {arXiv preprint arXiv:math/0310239},
  year   = {2007}
}

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13 pages