A Montel-type theorem for Hardy spaces of holomorphic functions

2020/04/22 by Vidal, Tomás Fernández, Galicer, Daniel, Sevilla-Peris, Pablo
#Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2004.10511

Abstract

We give a version of the Montel theorem for Hardy spaces of holomorphic functions on an infinite dimensional space. As a by-product, we provide a Montel-type theorem for the Hardy space of Dirichlet series. This approach also gives an elementary proof of Montel theorem for the classical one-variable Hardy spaces.

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