Pluricomplex Green and Lempert functions for equally weighted poles

Pascal J. Thomas, Nguyen Van Trao

For $\Omega$ a domain in ${\mathbb{C}}^n$, the pluricomplex Green function with poles $a_1,...,a_N\in \Omega$ is defined as $G(z):=\sup \{u(z): u\in PSH_-(Ω), u(x)\le \log \|x-a_j\|+C_j \text…