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arXiv · 2409.18509

Random interpolation in the Nevanlinna and Smirnov classes and related spaces

Giuseppe Lamberti
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Abstract

We study random interpolating sequences with prescribed radii in the Nevanlinna and Smirnov classes. As it turns out these are characterized by the Blaschke condition. This follows from a more general result. Indeed, we show that this characterization is true in so-called big Hardy-Orlicz spaces. It is noteworthy to mention that conditions for deterministic interpolation in these spaces are given by harmonic majorants, the existence of which is difficult to check in general.

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Giuseppe Lamberti. 2024-09-27. Random interpolation in the Nevanlinna and Smirnov classes and related spaces. https://arxiv.org/abs/2409.18509

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