Blow--up Solutions of Liouville's Equation and Quasi--Normality

Jürgen Grahl, Daniela Kraus, Oliver Roth

We prove that the family ${\mathcal{F}}_C(D)$ of all meromorphic functions $f$ on a domain $D\subseteq \mathbb{C}$ with the property that the spherical area of the image domain $f(D)…