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math.FA2022
The distributional divergence of horizontal vector fields vanishing at infinity on Carnot groups
Annalisa Baldi, Francescopaolo Montefalcone
We define a BV -type space in the setting of Carnot groups (i.e., simply connected Lie groups with stratified nilpotent Lie algebra) that allows one to characterize all distributio…
math.DG2022★ 3 cited
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…