Universal radial limits of meromorphic functions in the unit disk

We consider the space of meromorphic functions in the unit disk $\mathbb{D}$ and show that there exists a dense $G_{\delta }$-subset of functions having universal radial limits. Our results complement known statements about holomorphic functions and further imply the existence of meromorphic functio...

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Bibliographic Details
Main Author: Meyrath, Thierry
Format: Article
Language:English
Published: Académie des sciences 2022-09-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.352/