SEMINARIO DE ANÁLISIS COMPLEJO (COMPLEX ANALYSIS SEMINAR)

Some classical operators on some Banach spaces of
Dirichlet series

Carlos GÓMEZ CABELLO

Universidad del País Vasco - BCAM

Wednesday, December 11, 2024 at 15:30
Room 420, Module 17, Department of Mathematics,

Universidad Autónoma de Madrid (Autonomous University of Madrid)

Abstract:
Some operators such as the composition operator or the Volterra have been widely
studied when acting on Banach spaces of analytic functions in the unit disc. In
recent years, new Banach spaces of analytic functions have appeared and gained
increasing popularity among the Functional Analysis community. That is the case of
the Dirichlet series version of the classical Hardy and Bergman spaces or the unit disc
algebra. The purpose of this talk is to present some of these spaces as well as some
results related to the boundedness and compactness of certain popular operators on
these new spaces.
The results here presented have been obtained in collaboration with Manuel D. Contreras,
Pascal Lefèvre, Hervé Queffélec, and Luis Rodríguez Piazza.