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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Interpolation of $l^{q}$ sequences by $H^{p}$ functions
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by B. A. Taylor and D. L. Williams PDF
Proc. Amer. Math. Soc. 34 (1972), 181-186 Request permission

Abstract:

It is pointed out that the method used by L. Carleson to study interpolation by bounded analytic functions applies to the study of the analogous problem for ${H^p}$ functions. In particular, there exist sequences of points in the unit disc which are not uniformly separated, but which are such that every ${l^q}$ sequence can be interpolated along this sequence by an ${H^p}$ function $(1 \leqq p \leqq q \leqq + \infty )$.
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 34 (1972), 181-186
  • MSC: Primary 30A78
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0294652-X
  • MathSciNet review: 0294652