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arxiv: 1505.04917 · v3 · pith:BWWUSRKXnew · submitted 2015-05-19 · 🧮 math.CV

Characterizations of boundary pluripolar Hulls

classification 🧮 math.CV
keywords boundarypluripolarhullssetsalwaysb-regularbasiccalled
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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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