no. 7
Complex analysis/Functional analysis
On the boundary behaviour of derivatives of functions in the disc algebra
[Sur le comportement au bord de dérivées de fonctions de l'algèbre du disque]

Présenté par : the Editorial Board

Charpentier, Stéphane1 ; Nestoridis, Vassili2
1 Institut de mathématiques de Marseille, UMR 7353, Aix-Marseille Université, Technopôle Château-Gombert, 39, rue Frédéric-Joliot-Curie, 13453 Marseille cedex 13, France
2 Department of Mathematics, National and Kapodistrian University of Athens, 15784 Athens, Greece
Comptes Rendus. Mathématique, Tome 356 (2018) no. 7, pp. 732-736.

On présente une construction simple et explicite d'une fonction de l'algèbre du disque dont les dérivés possèdent des propriétés d'universalité disjointe au bord. L'ensemble des fonctions ayant une telle propriété est topologiquement générique et contient un sous-espace dense et un sous-espace fermé de dimension infinie.

We provide with a simple and explicit construction of a function in the disc algebra, whose derivatives enjoy a disjoint universal property near the boundary. The set of functions with such property is topologically generic, densely lineable, and spaceable.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2018.05.015
Charpentier, Stéphane 1 ; Nestoridis, Vassili 2

1 Institut de mathématiques de Marseille, UMR 7353, Aix-Marseille Université, Technopôle Château-Gombert, 39, rue Frédéric-Joliot-Curie, 13453 Marseille cedex 13, France
2 Department of Mathematics, National and Kapodistrian University of Athens, 15784 Athens, Greece 
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Charpentier, Stéphane; Nestoridis, Vassili. On the boundary behaviour of derivatives of functions in the disc algebra. Comptes Rendus. Mathématique, Tome 356 (2018) no. 7, pp. 732-736. doi : 10.1016/j.crma.2018.05.015. http://www.numdam.org/articles/10.1016/j.crma.2018.05.015/

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