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).
Baldi, A., Franchi, B., Pansu, P. (2019). L1-Poincaré and Sobolev inequalities for differential forms in Euclidean spaces. SCIENCE CHINA. MATHEMATICS, 62(6), 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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