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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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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An embedding constant for the Hardy space of Dirichlet series
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by Ole Fredrik Brevig PDF
Proc. Amer. Math. Soc. 145 (2017), 1639-1641 Request permission

Abstract:

A new and simple proof of the embedding of the Hardy–Hilbert space of Dirichlet series into a conformally invariant Hardy space of the half-plane is presented, and the optimal constant of the embedding is computed.
References
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Additional Information
  • Ole Fredrik Brevig
  • Affiliation: Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU), NO-7491 Trondheim, Norway
  • MR Author ID: 1069722
  • Email: ole.brevig@math.ntnu.no
  • Received by editor(s): March 14, 2016
  • Received by editor(s) in revised form: June 9, 2016
  • Published electronically: October 18, 2016
  • Additional Notes: The author was supported by Grant 227768 of the Research Council of Norway.
  • Communicated by: Stephan Ramon Garcia
  • © Copyright 2016 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 1639-1641
  • MSC (2010): Primary 30B50; Secondary 15A63
  • DOI: https://doi.org/10.1090/proc/13330
  • MathSciNet review: 3601554