Universal radial limits of meromorphic functions in the unit disk

[en] We consider the space of meromorphic functions in the unit disk $\D$ 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 functions having maximal cluster sets along certain subsets of $\D$.

Disciplines :

Mathematics

Author, co-author :

MEYRATH, Thierry ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit

External co-authors :

Language :

English

Title :

Universal radial limits of meromorphic functions in the unit disk

Publication date :

2022

Journal title :

Comptes Rendus. Mathématique

ISSN :

1631-073X

eISSN :

1778-3569

Publisher :

Elsevier Masson, Paris, France

Volume :

360

Pages :

893 - 898

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.352/

Available on ORBilu :

since 20 September 2022

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Bibliography

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