The pluricomplex Poisson kernel for convex finite type domains

Leandro Arosio, Filippo Bracci, Matteo Fiacchi

Given a bounded convex domain $D\subset {\mathbb{C}}^n$ of finite D'Angelo type and a boundary point $\hat{I}¾\in \partial D$, we prove that the homogeneous complex Monge-Ampère equation $…