Boundary Behavior and Cesàro Means of Universal Taylor Series

Frédéric Bayart

Resumen


We study boundary properties of universal Taylor series. We prove that if f is a universal Taylor series on the open unit disk, then there exists a residual subset G of the unit circle such that f is unbounded on all radii with endpoints in G. We also study the effect of summability methods on universal Taylor series. In particular, we show that a Taylor series is universal if and only if its Cesàro means are universal.

Texto completo: PDF

Refbacks

  • No hay Refbacks actualmente.





Revista Matemática Complutense
ISSN
1139-1138
ISSN-e 1988-2807

© . Universidad Complutense de Madrid
Biblioteca Complutense | Ediciones Complutense