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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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Sharp estimates in some inequalities of Zygmund type for Riesz transforms
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by Jorge Aarão and Michael D. O’Neill PDF
Proc. Amer. Math. Soc. 140 (2012), 4227-4233 Request permission

Abstract:

Sharp constant versions of two endpoint inequalities for Riesz transforms are derived using probabilistic methods.
References
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Additional Information
  • Jorge Aarão
  • Affiliation: School of Mathematics and Statistics, University of South Australia, Mawson Lakes Boulevard, Mawson Lakes, 5070 SA, Australia
  • Email: Jorge.Aarao@unisa.edu.au
  • Michael D. O’Neill
  • Affiliation: Department of Mathematics, Claremont McKenna College, Claremont, California 91711
  • Email: moneill@cmc.edu
  • Received by editor(s): May 26, 2011
  • Published electronically: July 18, 2012
  • Communicated by: Edward C. Waymire
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 140 (2012), 4227-4233
  • MSC (2010): Primary 26D07, 42B20, 60H30
  • DOI: https://doi.org/10.1090/S0002-9939-2012-11353-X
  • MathSciNet review: 2957213