Uniform minimality, unconditionality and interpolation in backward shift invariant spaces
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | AMAR, Eric | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | HARTMANN, Andreas | |
| dc.date.accessioned | 2024-04-04T02:42:29Z | |
| dc.date.available | 2024-04-04T02:42:29Z | |
| dc.date.created | 2008 | |
| dc.date.issued | 2010 | |
| dc.identifier.issn | 0373-0956 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191247 | |
| dc.description.abstractEn | We discuss relations between uniform minimality, unconditionality and interpolation for families of reproducing kernels in backward shift invariant subspaces. This class of spaces contains as prominent examples the Paley-Wiener spaces for which it is known that uniform minimality does in general neither imply interpolation nor unconditionality. Hence, contrarily to the situation of standard Hardy spaces (and other scales of spaces), changing the size of the space seems %in this context necessary to deduce unconditionality or interpolation from uniform minimality. Such a change can take two directions: lowering the power of integration, or ''increasing'' the defining inner function (e.g.\ increasing the type in the case of Paley-Wiener space). Khinchin's inequalities play a substantial rôle in the proofs of our main results. | |
| dc.language.iso | en | |
| dc.publisher | Association des Annales de l'Institut Fourier | |
| dc.subject.en | Uniform minimality | |
| dc.subject.en | unconditional bases | |
| dc.subject.en | model spaces | |
| dc.subject.en | Paley-Wiener spaces | |
| dc.subject.en | interpolation | |
| dc.subject.en | one-component inner functions | |
| dc.title.en | Uniform minimality, unconditionality and interpolation in backward shift invariant spaces | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.identifier.arxiv | 0901.3501 | |
| bordeaux.journal | Annales de l'Institut Fourier | |
| bordeaux.page | 1879-1903 | |
| bordeaux.volume | 60 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00355323 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00355323v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Annales%20de%20l'Institut%20Fourier&rft.date=2010&rft.volume=60&rft.issue=1&rft.spage=1879-1903&rft.epage=1879-1903&rft.eissn=0373-0956&rft.issn=0373-0956&rft.au=AMAR,%20Eric&HARTMANN,%20Andreas&rft.genre=article |
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