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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Interpolating sequences in the polydisc


Authors: Bo Berndtsson, Sun-Yung A. Chang and Kai-Ching Lin
Journal: Trans. Amer. Math. Soc. 302 (1987), 161-169
MSC: Primary 32A35; Secondary 30E05
MathSciNet review: 887503
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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 $ {{\mathbf{C}}^n}$. In this note, we give a sufficient condition for sequences of points in $ {D^n}$ to be interpolating sequences for $ {H^\infty }({D^n})$. We also discuss some conditions for interpolation of general domains.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1987-0887503-9
PII: S 0002-9947(1987)0887503-9
Keywords: Interpolating sequences, Carleson measure, Gleason distance
Article copyright: © Copyright 1987 American Mathematical Society