Limiting fractional and Lorentz space estimates of differential forms
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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.References
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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