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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on rearrangement Poincaré inequalities and the doubling condition
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by Joaquim Martín and Walter A. Ortiz;
Proc. Amer. Math. Soc. 152 (2024), 3437-3449
DOI: https://doi.org/10.1090/proc/16795
Published electronically: June 12, 2024

Abstract:

We introduce Poincaré-type inequalities based on rearrangement invariant spaces in the setting of metric measure spaces and analyze when they imply the doubling condition on the underline measure.
References
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Bibliographic Information
  • Joaquim Martín
  • Affiliation: Department of Mathematics, Universitat Autònoma de Barcelona, Spain
  • ORCID: 0000-0002-7467-787X
  • Email: Joaquin.Martin@uab.cat
  • Walter A. Ortiz
  • Affiliation: Department of Mathematics, Universitat Autònoma de Barcelona, Spain
  • MR Author ID: 1333906
  • ORCID: 0000-0002-8617-3919
  • Email: WalterAndres.Ortiz@uab.cat
  • Received by editor(s): May 22, 2023
  • Received by editor(s) in revised form: October 18, 2023, January 15, 2024, and January 18, 2024
  • Published electronically: June 12, 2024
  • Additional Notes: The first author was partially supported by Grants PID2020-113048GB-I00 and PID2020-114167GB-I00 funded both by MCIN/AEI/10.13039/501100011033 and Grant 2021-SGR-00071 (AGAUR, Generalitat de Catalunya)
    The second author was partially supported by Grant 2021-SGR-00071 (AGAUR, Generalitat de Catalunya)
  • Communicated by: Nageswari Shanmugalingam
  • © Copyright 2024 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 152 (2024), 3437-3449
  • MSC (2020): Primary 46E35, 46E30, 30L99
  • DOI: https://doi.org/10.1090/proc/16795
  • MathSciNet review: 4767274