Proceedings of the American Mathematical Society

Author(s): Jean Van Schaftingen
Journal: Proc. Amer. Math. Soc. 138 (2010), 235-240.
MSC (2000): Primary 35B65; Secondary 26D10, 35F05, 42B20, 46E30, 46E35, 58A10
Posted: September 3, 2009
Retrieve article in: PDF

Abstract: We obtain estimates in Besov, Triebel-Lizorkin and Lorentz spaces of differential forms on $\mathbf{R}^n$ in terms of their

norm.

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Jean Van Schaftingen
Affiliation: Département de Mathématique, Université Catholique de Louvain, Chemin du Cyclotron 2, 1348 Louvain-la-Neuve, Belgium
Email: Jean.VanSchaftingen@uclouvain.be

DOI: 10.1090/S0002-9939-09-10005-9
PII: S 0002-9939(09)10005-9
Keywords: Differential forms, div-curl system, Hodge decomposition, exterior differential, Besov spaces, Triebel--Lizorkin spaces, Lorentz-Sobolev spaces, regularity, limiting embedding
Received by editor(s): March 12, 2009,
Received by editor(s) in revised form: April 20, 2009
Posted: September 3, 2009
Additional Notes: The author is supported by the Fonds de la Recherche Scientifique-FNRS
Communicated by: Michael T. Lacey
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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