On the boundary behaviour of derivatives of functions in the disc algebra - Archive ouverte HAL
Article Dans Une Revue Comptes Rendus. Mathématique Année : 2018

On the boundary behaviour of derivatives of functions in the disc algebra

Résumé

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.

Dates et versions

hal-02066549 , version 1 (13-03-2019)

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Citer

Stéphane Charpentier, Vassili Nestoridis. On the boundary behaviour of derivatives of functions in the disc algebra. Comptes Rendus. Mathématique, 2018, 356 (7), pp.732-736. ⟨10.1016/j.crma.2018.05.015⟩. ⟨hal-02066549⟩
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