231 citations · 343 across the 18 of their papers we have counts for
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Sobolev-Gaffney type inequalities for differential forms on sub-Riemannian contact manifolds with bounded geometry
Annalisa Baldi, Maria Carla Tesi, Francesca Tripaldi
In this paper we establish a Gaffney type inequality, in -Sobolev spaces, for differential forms on sub-Riemannian contact manifolds without boundary, having bounded ge…
-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 . The singular integral estimates that it is possible to use for , ,…
-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…
Poincar{é} and Sobolev inequalities for differential forms in Heisenberg groups
Annalisa Baldi, Bruno Franchi, Pierre Pansu
Poincar{é} and Sobolev inequalities for differential forms on Heisenberg balls, involving Rumin's differentials, are given. Furthermore, a global homotopy of Rumin's complex which…
Gagliardo-Nirenberg Inequalities for Differential Forms in Heisenberg Groups
Annalisa Baldi, Bruno Franchi, Pierre Pansu
The L 1-Sobolev inequality states that the L n/(n--1)-norm of a compactly supported function on Euclidean n-space is controlled by the L 1-norm of its gradient. The generalization…