Title: $L^1$-Poincar\'e and Sobolev inequalities for differential forms in Euclidean spaces
Abstract: In this paper, we prove Poincare and Sobolev inequalities for differential forms in $L^1(\mathbb R^n)$. The singular integral estimates that it is possible to use for $L^p$, $p>1$, are replaced here with inequalities which go back to Bourgain-Brezis.
Publication Year: 2019
Publication Date: 2019-02-26
Language: en
Type: preprint
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Cited By Count: 1
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