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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 note on Coulhon type inequalities
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by Joaquim Martín and Mario Milman PDF
Proc. Amer. Math. Soc. 142 (2014), 4221-4237 Request permission

Abstract:

T. Coulhon introduced an interesting reformulation of the usual Sobolev inequalities. We characterize Coulhon type inequalities in terms of rearrangement inequalities.
References
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Additional Information
  • Joaquim Martín
  • Affiliation: Department of Mathematics, Universitat Autònoma de Barcelona, 08193 Barcelona, Spain
  • Email: jmartin@mat.uab.cat
  • Mario Milman
  • Affiliation: Department of Mathematics, Florida Atlantic University, Boca Raton, Florida 33431
  • Email: extrapol@bellsouth.net
  • Received by editor(s): June 8, 2012
  • Received by editor(s) in revised form: January 11, 2013
  • Published electronically: August 6, 2014
  • Additional Notes: The first author was supported in part by Grants MTM2010-14946, MTM-2010-16232
    The work of the second author was partially supported by a grant from the Simons Foundation (#207929).
  • Communicated by: Richard Rochberg
  • © Copyright 2014 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 142 (2014), 4221-4237
  • MSC (2010): Primary 46E30, 26D10
  • DOI: https://doi.org/10.1090/S0002-9939-2014-12133-2
  • MathSciNet review: 3266991