Monge-Ampère measure at the boundary of some domains with corners

Details Monge-Ampère measure at the boundary of some domains with corners Monge-Ampère measure at the boundary of some domains with corners

2006-04-03

arxiv.org/abs/math/0604022v1

Mathematics

Complex Variables

Scientific paper

Let $\mu^z$ be the measure obtained by sweeping out the Monge-Amp\`ere
measure of the pluricomplex Green function with pole at $z. $ We prove that
$\mu^z$ vanish on Levi flat parts of the boundary for 1) every relatively
compact analytic polyhedron in complex space, 2) product domains of hyperconvex
sets in Stein manifolds.

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