7 citations · 13 across the 4 of their papers we have counts for
4 papers
Comparing three possible hypoelliptic Laplacians on the 5-dimensional Cartan group via div-curl type estimates
Annalisa Baldi, Francesca Tripaldi
On general Carnot groups, the definition of a possible hypoelliptic Hodge-Laplacian on forms using the Rumin complex has been considered by Rumin, who introduced a 0-order pseudodi…
Sharp log-Sobolev inequalities in spaces with applications
Zoltán M. Balogh, Alexandru Kristály, Francesca Tripaldi
Given we prove the sharp -log-Sobolev inequality on noncompact metric measure spaces satisfying the condition, where the optimal constant involves the…
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…
A Cornucopia of Carnot groups in Low Dimensions
Enrico Le Donne, Francesca Tripaldi
Stratified groups are those simply connected Lie groups whose Lie algebras admit a derivation for which the eigenspace with eigenvalue 1 is Lie generating. When a stratified group…