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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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Limiting fractional and Lorentz space estimates of differential forms
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by Jean Van Schaftingen PDF
Proc. Amer. Math. Soc. 138 (2010), 235-240 Request permission

Abstract:

We obtain estimates in Besov, Triebel–Lizorkin and Lorentz spaces of differential forms on $\mathbf {R}^n$ in terms of their $L^1$ norm.
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Additional Information
  • Jean Van Schaftingen
  • Affiliation: Département de Mathématique, Université Catholique de Louvain, Chemin du Cyclotron 2, 1348 Louvain-la-Neuve, Belgium
  • MR Author ID: 730276
  • ORCID: 0000-0002-5797-9358
  • Email: Jean.VanSchaftingen@uclouvain.be
  • Received by editor(s): March 12, 2009
  • Received by editor(s) in revised form: April 20, 2009
  • Published electronically: September 3, 2009
  • Additional Notes: The author is supported by the Fonds de la Recherche Scientifique–FNRS
  • Communicated by: Michael T. Lacey
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 138 (2010), 235-240
  • MSC (2000): Primary 35B65; Secondary 26D10, 35F05, 42B20, 46E30, 46E35, 58A10
  • DOI: https://doi.org/10.1090/S0002-9939-09-10005-9
  • MathSciNet review: 2550188