P. Pansu

activity

20072026

most citedSard Property for the endpoint map on some Carnot groups

67 citations · 124 across the 33 of their papers we have counts for

collaborators

Showing 2019 · math.DGShow all

3 papers · 2 filters

math.DG2019★ 1 cited

Averages and the $ℓ^{q, 1}$ -cohomology of Heisenberg groups

Pierre Pansu, Francesca Tripaldi

Averages are invariants defined on the $ℓ^{1}$ cohomology of Lie groups. We prove that they vanish for abelian and Heisenberg groups. This result completes work by other authors a…

math.DG2019★ 1 cited

$L^{1}$ -Poincaré and Sobolev inequalities for differential forms in Euclidean spaces

Annalisa Baldi, Bruno Franchi, Pierre Pansu

In this paper, we prove Poincaré and Sobolev inequalities for differential forms in $L^{1} (R^{n})$ . The singular integral estimates that it is possible to use for $L^{p}$ , $p > 1$ ,…

math.DG2019★ 3 cited

$L^{1}$ -Poincaré inequalities for differential forms on Euclidean spaces and Heisenberg groups

Annalisa Baldi, Bruno Franchi, Pierre Pansu

In this paper, we prove interior Poincar{é} and Sobolev inequalities in Euclidean spaces and in Heisenberg groups, in the limiting case where the exterior (resp. Rumin) differentia…

Averages and the ℓq,1-cohomology of Heisenberg groups

L1-Poincaré and Sobolev inequalities for differential forms in Euclidean spaces

L1-Poincaré inequalities for differential forms on Euclidean spaces and Heisenberg groups

Averages and the $ℓ^{q, 1}$ -cohomology of Heisenberg groups

$L^{1}$ -Poincaré and Sobolev inequalities for differential forms in Euclidean spaces

$L^{1}$ -Poincaré inequalities for differential forms on Euclidean spaces and Heisenberg groups