Characterizations of boundary pluripolar Hulls

Published 19 May 2015 in math.CV | (1505.04917v3)

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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