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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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Norm estimates for the Hardy operator in terms of $B_p$ weights
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by Santiago Boza and Javier Soria PDF
Proc. Amer. Math. Soc. 145 (2017), 2455-2465 Request permission

Abstract:

We study the explicit dependence of the Hardy operator norm, acting on non-increasing functions in $L^p(w)$ or $L^{p,\infty }(w)$, in terms of the $B_p$-constant of the weight $w$.
References
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Additional Information
  • Santiago Boza
  • Affiliation: Department of Applied Mathematics IV, EETAC, Polytechnical University of Catalonia, E-08860 Castelldefels, Spain
  • MR Author ID: 631295
  • Email: santiago.boza@upc.edu
  • Javier Soria
  • Affiliation: Department of Mathematics and Informatics, University of Barcelona, Gran Via 585, E-08007 Barcelona, Spain
  • MR Author ID: 319870
  • Email: soria@ub.edu
  • Received by editor(s): May 26, 2016
  • Published electronically: February 20, 2017
  • Additional Notes: Both authors have been partially supported by the Spanish Government grants MTM2013-40985-P and MTM2016-75196-P and the Catalan autonomous government grant 2014SGR289.
  • Communicated by: Thomas Schlumprecht
  • © Copyright 2017 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 2455-2465
  • MSC (2010): Primary 26D15, 42B25, 46E30
  • DOI: https://doi.org/10.1090/proc/13604
  • MathSciNet review: 3626503