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

Jonas Wiklund
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Abstract

Let $μ^z$ be the measure obtained by sweeping out the Monge-Ampère measure of the pluricomplex Green function with pole at $z. $ We prove that $μ^z$ 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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Jonas Wiklund. 2006-04-03. Monge-Ampère measure at the boundary of some domains with corners. https://arxiv.org/abs/math/0604022

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