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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111415Let $μ^z$ 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.Complex Variables32F07; 31C10Monge-Ampère measure at the boundary of some domains with cornerstext