Inhomogeneous Poisson processes in the disk and interpolation
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | HARTMANN, Andreas | |
| hal.structure.identifier | Departament de Matematiques i Informatica, Universitat de Barcelona | |
| dc.contributor.author | MASSANEDA, Xavier | |
| dc.date.accessioned | 2024-04-04T02:40:54Z | |
| dc.date.available | 2024-04-04T02:40:54Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191102 | |
| dc.description.abstractEn | We investigate different geometrical properties of the inhomogeneous Poisson point process $\Lambda_{\mu}$ associated to a positive, locally finite, $\sigma$-finite measure $\mu$ on the unit disk. In particular, we characterize the processes $\Lambda_{\mu}$ such that almost surely: 1) $\Lambda_{\mu}$ is a Carleson-Newman sequence; 2) $\Lambda_{\mu}$ is the union of a given number M of separated sequences. We use these results to discuss the measures $\mu$ such that the associated process $\Lambda_{\mu}$ is almost surely an interpolating sequence for the Hardy, Bloch or weighted Dirichlet spaces. | |
| dc.language.iso | en | |
| dc.title.en | Inhomogeneous Poisson processes in the disk and interpolation | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.identifier.arxiv | 2207.10319 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-03728142 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03728142v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=HARTMANN,%20Andreas&MASSANEDA,%20Xavier&rft.genre=preprint |
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