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Proceedings of the American Mathematical Society Series B

Published by the American Mathematical Society since 2014, this gold open access, electronic-only journal is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 2330-1511

The 2020 MCQ for Proceedings of the American Mathematical Society Series B is 0.95.

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Interpolation in model spaces
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by Pamela Gorkin and Brett D. Wick HTML | PDF
Proc. Amer. Math. Soc. Ser. B 7 (2020), 170-182

Abstract:

In this paper we consider interpolation in model spaces, $H^2 \ominus B H^2$ with $B$ a Blaschke product. We study unions of interpolating sequences for two sequences that are far from each other in the pseudohyperbolic metric as well as two sequences that are close to each other in the pseudohyperbolic metric. The paper concludes with a discussion of the behavior of Frostman sequences under perturbations.
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Additional Information
  • Pamela Gorkin
  • Affiliation: Department of Mathematics, Bucknell University, Lewisburg, Pennsylvania 17837
  • MR Author ID: 75530
  • Email: pgorkin@bucknell.edu
  • Brett D. Wick
  • Affiliation: Department of Mathematics and Statistics, Washington University in St. Louis, St. Louis, Missouri 63130
  • MR Author ID: 766171
  • ORCID: 0000-0003-1890-0608
  • Email: wick@math.wustl.edu
  • Received by editor(s): February 25, 2020
  • Received by editor(s) in revised form: August 23, 2020
  • Published electronically: November 13, 2020
  • Additional Notes: Since August 2018, the first author has been serving as a Program Director in the Division of Mathematical Sciences at the National Science Foundation (NSF), USA, and as a component of this position, she received support from NSF for research, which included work on this paper.
    The second author’s research was supported in part by NSF grants DMS-1800057 and DMS-1560955, as well as ARC DP190100970.
    Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
  • Communicated by: Javad Mashreghi
  • © Copyright 2020 by the authors under Creative Commons Attribution-Noncommercial 3.0 License (CC BY NC 3.0)
  • Journal: Proc. Amer. Math. Soc. Ser. B 7 (2020), 170-182
  • MSC (2020): Primary 30H05; Secondary 30J10, 46J15
  • DOI: https://doi.org/10.1090/bproc/59
  • MathSciNet review: 4173817