Proper holomorphic maps in Euclidean spaces avoiding unbounded convex sets

Barbara Drinovec Drnovsek, Franc Forstneric

We show that if $E$ is a closed convex set in ${\mathbb{C}}^n$ $(n>1)$ contained in a closed halfspace $H$ such that $E\cap bH$ is nonempty and bounded, then the concave domain $Ω= \m…