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Transactions of the American Mathematical Society

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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.

References [Enhancements On Off] (What's this?)

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Keywords: Interpolating sequences, Carleson measure, Gleason distance
Article copyright: © Copyright 1987 American Mathematical Society

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