On the Radial Behavior of Universal Taylor

• Autores: George Costakis
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 145, Nº 1, 2005, págs. 11-17
• Idioma: inglés
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• Resumen

  • In this work we deal with universal Taylor series in the open unit disk, in the sense of Nestoridis; see [12]. Such series are not (C,k) summable at every boundary point for every k; see [7], [11]. In the opposite direction, using approximation theorems of Arakeljan and Nersesjan we prove that universal Taylor series can be Abel summable at some points of the unit circle; these points can form any closed nowhere dense subset of the unit circle.