hal.structure.identifier	Institut de Mathématiques de Bordeaux [IMB]
dc.contributor.author	AMAR, Eric
dc.date.accessioned	2024-04-04T02:55:33Z
dc.date.available	2024-04-04T02:55:33Z
dc.identifier.uri	https://oskar-bordeaux.fr/handle/20.500.12278/192373
dc.description.abstractEn	Let $S$ be a sequence of points in $\Omega ,$ where $\Omega $ is the unit ball or the unit polydisc in ${\mathbb{C}}^{n}.$ Denote $H^{p}$($\Omega $) the Hardy space of $\Omega .$ Suppose that $S$ is $H^{p}$ interpolating with $p\geq 2.$ Then $S$ has the bounded linear extension property. The same is true for the Bergman spaces of the ball by use of the "Subordination Lemma".
dc.language.iso	en
dc.title.en	On the linear extension property for interpolating sequences
dc.type	Document de travail - Pré-publication
dc.subject.hal	Mathématiques [math]/Variables complexes [math.CV]
dc.identifier.arxiv	1912.01989
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-02505586
hal.version	1
hal.origin.link	https://hal.archives-ouvertes.fr//hal-02505586v1
bordeaux.COinS	ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=AMAR,%20Eric&rft.genre=preprint

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On the linear extension property for interpolating sequences