Monge-Ampère measure at the boundary of some domains with corners
Jonas Wiklund
Abstract
Let μz be the measure obtained by sweeping out the Monge-Ampère measure of the pluricomplex Green function with pole at z. We prove that μz 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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