Interpolating Sequences in the Polydisc

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1987Publisher:JSTORJournal:Transactions of the American Mathematical Society, volume 302, page 161 (issn: 0002-9947,

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Authors: Berndtsson, Bo; Chang, Sun-Yung A.; Lin, Kai-Ching;

doi: 10.2307/2000903 , 10.1090/s0002-9947-1987-0887503-9

Interpolating Sequences in the Polydisc

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Abstract

Let \(H^{\infty}(D\) n) denote the set of all bounded analytic functions defined on the polydisc D n of \({\mathbb{C}}^ n.\) In this paper the authors give a sufficient condition for sequences of points in D n to be interpolating sequences for \(H^{\infty}(D\) n) Some conditions for interpolation of general domains are also discussed.

Keywords

interpolating sequences, polydisc, bounded analytic functions, \(H^p\)-spaces, Interpolation in approximation theory

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