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/20.500.12278/192374
dc.description.abstractEn	Let $S$ be a sequence of points in ${\mathbb{D}}^{n}.$ Suppose that $S$ is $H^{p}$ interpolating. Then we prove that the sequence $S$ is Carleson, provided that $p>2.$ We also give a sufficient condition, in terms of dual boundedness and square Carleson measure, for $S$ to be an $H^{p}$ interpolating sequence.
dc.language.iso	en
dc.title.en	Carleson measures and $H^{p}$ interpolating sequences in the polydisc
dc.type	Document de travail - Pré-publication
dc.subject.hal	Mathématiques [math]/Variables complexes [math.CV]
dc.identifier.arxiv	1911.07038
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-02505580
hal.version	1
hal.origin.link	https://hal.archives-ouvertes.fr//hal-02505580v1
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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Carleson measures and $H^{p}$ interpolating sequences in the polydisc