HAL (France)
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$L^1$-Poincar\'e inequalities for differential forms on Euclidean spaces and Heisenberg groups
In this paper, we prove interior Poincaré and Sobolev inequalities in Euclidean spaces and in Heisenberg groups, in the limiting case where the exterior (resp. Rumin) differential of a differential form is measured in L 1 norm. Unlike for L p , p > 1, the estimates are doomed to fail in top degre
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