On the boundary behaviour of derivatives of functions in the disc algebra |
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| Authors: | Stéphane Charpentier Vassili Nestoridis |
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| Institution: | 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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| Abstract: | 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. |
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