Characterizations of boundary pluripolar Hulls
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.
9 pages, In this version some small changes were made and a few typo's were corrected. Version 3 has 10 pages. Section 2 has been rewritten. It now includes observations about different versions of the boundary extremal function as introduced by Sadullaev. We removed superfluous assumptions in some of the statements