2024/09/27 by Giuseppe Lamberti, Lamberti, Giuseppe
Mathematics · #advanced mathematical theories #Mathematical Analysis and Transform Methods #Advanced Harmonic Analysis Research
paper · pdf · doi:10.48550/arxiv.2409.18509
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.