Congreso: Workshop on functional analysis and operator theory.
Lugar: UPV, Valencia, España.
Fechas: del 18 al 23 de septiembre de 2017.
Miembros del equipo conferenciantes:
Ponente y título: Javier Jiménez-Garrido, Growth indices for weight sequences and weight functions
Resumen: When defining ultradifferentiable (or ultraholomorphic) classes of functions by means of weight sequences or functions, it is standard to impose some conditions on the weights in order to guarantee stability (product, derivation and composition closedness) and quasianaliticity properties. It turns out that many of them are related to, or can be expressed in terms of, the indices of O-Regular Variation studied by several authors (S. Aljan\v ci\'c, D. Arandelovi\'c, N.H. Bingham W.~Matuszewska, E. Seneta). In this talk, we will present this connection and we will also show the link between the indices for a weight sequence and the ones for its associated weight function. Finally, classical and new theorems regarding the injectivity and surjectivity of the asymptotic Borel map will be stated in a simple way using these indices. Joint work with Javier Sanz (Universidad de Valladolid, Spain) and Gerhard Schindl (University of Vienna, Austria).
Ponente y título: Javier Sanz, Surjectivity of the Borel map in Roumieu ultraholomorphic classes in sectors
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