Interpolating sequences in the ball of \( \mathbb C ^{n}\)
type: Item
instance of: scholarly article
title: Interpolating sequences in the ball of \( \mathbb C ^{n}\)
zbMATH Open document ID: 1038.32009
DOI: 10.1007/BF02384486
published in: Arkiv för Matematik
publication date: 2004-03-15T00:00:00Z
review text: Let \(S\) be a sequence of points in \(B\) (the unit ball in \(\mathbb C^n)\). The author gives a necessary condition on \(S\) to be \(H^\infty(B)\) interpolating in terms of a \(\mathbb C^n\) valued holomorphic function that vanishes on \(S\) (a substitute for the interpolating Blaschke product). Further, he shows that these conditions are sufficient for \(S\) to be interpolating for \(\bigcap_{p>1}H^p(B)\) as well as for \(H^p(B), 1 \leq p <\infty \).
reviewed by: Viorel Vâjâitu
Mathematics Subject Classification ID: 32A99
Mathematics Subject Classification ID: 30E05
Mathematics Subject Classification ID: 46J15
zbMATH DE Number: 2057372
zbMATH Keywords: Interpolating sequence
zbMATH Keywords: Carleson measure
author: Eric Amar
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02384486
OpenAlex ID: W2054491283
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description: scientific article; zbMATH DE number 2057372