A Montel-type theorem for Hardy spaces of holomorphic functions

Published 22 Apr 2020 in math.FA and math.CV | (2004.10511v1)

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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