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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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A Bourgain-Brezis-Mironescu type result for the fractional relativistic seminorm
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by Vincenzo Ambrosio and Fares Essebei
Proc. Amer. Math. Soc.
DOI: https://doi.org/10.1090/proc/16734
Published electronically: March 20, 2024

Abstract:

We establish a version of the Bourgain-Brezis-Mironescu type formula on the limit as $s\rightarrow 1^-$ of the fractional relativistic seminorm.
References
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Bibliographic Information
  • Vincenzo Ambrosio
  • Affiliation: Dipartimento di Ingegneria Industriale e Scienze Matematiche, Università Politecnica delle Marche, Via Brecce Bianche, 12 60131 Ancona, Italy
  • MR Author ID: 1105343
  • ORCID: 0000-0003-3439-1428
  • Email: v.ambrosio@staff.univpm.it
  • Fares Essebei
  • Affiliation: Dipartimento di Ingegneria Industriale e Scienze Matematiche, Università Politecnica delle Marche, Via Brecce Bianche, 12 60131 Ancona, Italy
  • MR Author ID: 1551910
  • Email: f.essebei@staff.univpm.it
  • Received by editor(s): May 3, 2023
  • Received by editor(s) in revised form: November 17, 2023
  • Published electronically: March 20, 2024
  • Communicated by: Ariel Barton
  • © Copyright 2024 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc.
  • MSC (2020): Primary 46E35, 33C10
  • DOI: https://doi.org/10.1090/proc/16734