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Random interpolating sequences in Dirichlet spaces
| hal.structure.identifier | Dipartimento di Matematica | |
| dc.contributor.author | CHALMOUKIS, Nikolaos | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | HARTMANN, Andreas | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | KELLAY, Karim | |
| hal.structure.identifier | Washington University in Saint Louis [WUSTL] | |
| dc.contributor.author | WICK, Brett | |
| dc.date.accessioned | 2024-04-04T02:49:32Z | |
| dc.date.available | 2024-04-04T02:49:32Z | |
| dc.date.created | 2019 | |
| dc.date.issued | 2022 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191830 | |
| dc.description.abstractEn | We discuss random interpolation in weighted Dirichlet spaces $\mathcal{D}_\alpha$, $0\leq \alpha\leq 1$. While conditions for deterministic interpolation in these spaces depend on capacities which are very hard to estimate in general, we show that random interpolation is driven by surprisingly simple distribution conditions. As a consequence, we obtain a breakpoint at $\alpha=1/2$ in the behavior of these random interpolatingsequences showing more precisely that almost sure interpolating sequences for $\mathcal{D}_\alpha$ are exactly the almost sure separated sequences when $0\le \alpha<1/2$ (which includes the Hardy space $H^2=\mathcal{D}_0$), and they are exactly the almost sure zero sequences for $\mathcal{D}_\alpha$ when $1/2 \leq \alpha\le 1$ (which includes the classical Dirichlet space $\mathcal{D}=\mathcal{D}_1$). | |
| dc.description.sponsorship | Noyaux reproduisants en Analyse et au-delà - ANR-18-CE40-0035 | |
| dc.language.iso | en | |
| dc.subject.en | random sequences | |
| dc.subject.en | Carleson measure | |
| dc.subject.en | Interpolating sequences | |
| dc.subject.en | separation | |
| dc.title.en | Random interpolating sequences in Dirichlet spaces | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.identifier.arxiv | 1904.12529 | |
| bordeaux.journal | international mathematical research notices | |
| bordeaux.page | 13629-13658 | |
| bordeaux.volume | 17 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02113238 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02113238v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=international%20mathematical%20research%20notices&rft.date=2022&rft.volume=17&rft.spage=13629-13658&rft.epage=13629-13658&rft.au=CHALMOUKIS,%20Nikolaos&HARTMANN,%20Andreas&KELLAY,%20Karim&WICK,%20Brett&rft.genre=article |
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