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arXiv · 2004.10511

A Montel-type theorem for Hardy spaces of holomorphic functions

Tomás Fernández Vidal·Daniel Galicer·Pablo Sevilla-Peris
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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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Tomás Fernández Vidal, Daniel Galicer, Pablo Sevilla-Peris. 2020-04-22. A Montel-type theorem for Hardy spaces of holomorphic functions. https://arxiv.org/abs/2004.10511

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