Random interpolation in the Nevanlinna and Smirnov classes and related spaces
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917184120291328 |
|---|---|
| author | Lamberti, Giuseppe |
| author_facet | Lamberti, Giuseppe |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18509 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Random interpolation in the Nevanlinna and Smirnov classes and related spaces Lamberti, Giuseppe Complex Variables Functional Analysis Probability 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. |
| title | Random interpolation in the Nevanlinna and Smirnov classes and related spaces |
| topic | Complex Variables Functional Analysis Probability |
| url | https://arxiv.org/abs/2409.18509 |