Determination of the pluripolar hull of graphs of certain holomorphic functions

Details Determination of the pluripolar hull of graphs of certain holomorphic functions Determination of the pluripolar hull of graphs of certain holomorphic functions

2003-10-16

arxiv.org/abs/math/0310239v1

Mathematics

Complex Variables

13 pages

Scientific paper

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.

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