SPANS OF TRANSLATES IN WEIGHTED $\ell^p$ SPACES
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | KELLAY, Karim | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | LE MANACH, Florian | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ZARRABI, Mohamed | |
| dc.date | 2023-01-17 | |
| dc.date.accessioned | 2024-04-04T02:40:22Z | |
| dc.date.available | 2024-04-04T02:40:22Z | |
| dc.date.issued | 2023-01-17 | |
| dc.identifier.issn | 0213-2230 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191058 | |
| dc.description.abstractEn | We study the cyclic vectors and the spanning set of the circle for the $\ell^p_\beta β(\mathbb{Z}$ spaces of all sequences $u =(u_ n)_{n\in \mathbb{Z}}$ such that $(u_n (1 + |n|)^\beta)_{ n\in \mathbb{Z}}\in \ell^p (\mathbb{Z}$ with $p > 1$ and $\beta>0$. By duality the spanning set is the uniqueness set of the distribution on the circle whose Fourier coefficients are in $\ell^{q}_{−\beta} (\mathbb{Z}$) where $q$ is the conjugate of $p$. Our characterizations are given in terms of the Hausdorff dimension and capacity. | |
| dc.language.iso | en | |
| dc.publisher | European Mathematical Society | |
| dc.subject.en | 2000 Mathematics Subject Classification. primary 43A15 | |
| dc.subject.en | secondary 28A12 | |
| dc.subject.en | 42A38 Cyclicity | |
| dc.subject.en | Weighted p spaces | |
| dc.subject.en | Spanning set | |
| dc.subject.en | Uniqueness set | |
| dc.subject.en | Hausdorff dimension | |
| dc.subject.en | Capacity | |
| dc.title.en | SPANS OF TRANSLATES IN WEIGHTED $\ell^p$ SPACES | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| bordeaux.journal | Revista Matemática Iberoamericana | |
| 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-03790054 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03790054v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Revista%20Matem%C3%A1tica%20Iberoamericana&rft.date=2023-01-17&rft.eissn=0213-2230&rft.issn=0213-2230&rft.au=KELLAY,%20Karim&LE%20MANACH,%20Florian&ZARRABI,%20Mohamed&rft.genre=article |
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