In this paper, we prove Poincaré and Sobolev inequalities for differential forms in L1(ℝn). The singular integral estimates that it is possible to use for Lp, p > 1, are replaced here with inequalities which go back to Bourgain and Brezis (2007).
L1-Poincaré and Sobolev inequalities for differential forms in Euclidean spaces / Baldi, Annalisa; Franchi, Bruno; Pansu, Pierre. - In: SCIENCE CHINA. MATHEMATICS. - ISSN 1674-7283. - STAMPA. - 62:6(2019), pp. 1029-1040. [10.1007/s11425-018-9498-8]
L1-Poincaré and Sobolev inequalities for differential forms in Euclidean spaces
Baldi, AnnalisaMembro del Collaboration Group
;Franchi, Bruno
Membro del Collaboration Group
;
2019
Abstract
In this paper, we prove Poincaré and Sobolev inequalities for differential forms in L1(ℝn). The singular integral estimates that it is possible to use for Lp, p > 1, are replaced here with inequalities which go back to Bourgain and Brezis (2007).File in questo prodotto:
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