Characterizations of boundary pluripolar Hulls

2015/05/19 by Djire, Ibrahim K., Wiegerinck, Jan · 1 citation
#32U05 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1505.04917

Abstract

We present some basic properties of the boundary relative extremal function and discuss so called boundary pluripolar sets and boundary pluripolar hulls. We show that for B-regular domains the boundary pluripolar hull is always trivial on the boundary of the domain and present a "boundary version" of Zeriahi's theorem on the completeness of pluripolar sets.

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• Dirichlet problem for plurisubharmonic functions on bounded quasi B-regular domains in ℂⁿ

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