Interpolating sequences in the polydisc

Bo Berndtsson; Sun Yung A. Chang; Kai Ching Lin

doi:10.1090/S0002-9947-1987-0887503-9

Interpolating sequences in the polydisc

Bo Berndtsson, Sun Yung A. Chang, Kai Ching Lin

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

Let H^∞(Dⁿ) denote the set of all bounded analytic functions defined on the polydisc Dⁿ of Cⁿ. In this note, we give a sufficient condition for sequences of points in Dⁿ to be interpolating sequences for H^∞ (Dⁿ). We also discuss some conditions for interpolation of general domains.

Original language	English (US)
Pages (from-to)	161-169
Number of pages	9
Journal	Transactions of the American Mathematical Society
Volume	302
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9947-1987-0887503-9
State	Published - Jul 1987
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Keywords

Carleson measure
Gleason distance. The research of the second and third authors was supported in part by NSF grants
Interpolating sequences

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10.1090/S0002-9947-1987-0887503-9

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abstract = "Let H∞(Dn) denote the set of all bounded analytic functions defined on the polydisc Dn of Cn. In this note, we give a sufficient condition for sequences of points in Dn to be interpolating sequences for H∞ (Dn). We also discuss some conditions for interpolation of general domains.",

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AU - Berndtsson, Bo

AU - Chang, Sun Yung A.

AU - Lin, Kai Ching

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N2 - Let H∞(Dn) denote the set of all bounded analytic functions defined on the polydisc Dn of Cn. In this note, we give a sufficient condition for sequences of points in Dn to be interpolating sequences for H∞ (Dn). We also discuss some conditions for interpolation of general domains.

AB - Let H∞(Dn) denote the set of all bounded analytic functions defined on the polydisc Dn of Cn. In this note, we give a sufficient condition for sequences of points in Dn to be interpolating sequences for H∞ (Dn). We also discuss some conditions for interpolation of general domains.

KW - Carleson measure

KW - Gleason distance. The research of the second and third authors was supported in part by NSF grants

KW - Interpolating sequences

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Interpolating sequences in the polydisc

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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