Analyse et géométrie complexes
Universal radial limits of meromorphic functions in the unit disk
Meyrath, Thierry1
1 University of Luxembourg, Department of Mathematics, 6, avenue de la Fonte, 4364 Esch-sur-Alzette, Luxembourg
Comptes Rendus. Mathématique, Tome 360 (2022) no. G8, pp. 893-898.

We consider the space of meromorphic functions in the unit disk 𝔻 and show that there exists a dense Gδ-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.

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DOI : 10.5802/crmath.352
Classification : 30K15, 30D40, 30D35, 30D30
Meyrath, Thierry 1

1 University of Luxembourg, Department of Mathematics, 6, avenue de la Fonte, 4364 Esch-sur-Alzette, Luxembourg 
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Meyrath, Thierry. Universal radial limits of meromorphic functions in the unit disk. Comptes Rendus. Mathématique, Tome 360 (2022) no. G8, pp. 893-898. doi : 10.5802/crmath.352. https://www.numdam.org/articles/10.5802/crmath.352/

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