On an Internal Characterization of Horocyclically Convex Domains in the Unit Disk

Juan Arango, Hugo Arbeláez, Diego Mejía

A proper subdomain $G$ of the unit disk $\mathbb{D}$ is horocyclically convex (horo-convex) if, for every $\ddot{I}‰\in \mathbb{D}\cap \partial G$, there exists a horodisk $H$ such that $…