231 citations · 343 across the 18 of their papers we have counts for
21 papers
-Hodge decomposition and global integral estimates on the Cartan group
Annalisa Baldi, Alessandro Rosa
The study of Sobolev and Poincaré inequalities for differential forms in Carnot groups and in the more general sub-Riemannian setting is still an open problem in its full generalit…
-Hodge Decomposition with Sobolev classes in Sub-Riemannian Contact Manifolds
Annalisa Baldi, Alessandro Rosa
Let . In this article we establish an -Hodge decomposition theorem on sub-Riemannian compact contact manifolds without boundary, related to the Rumin complex of di…
A representation formula for regular functions on the characteristic plane of the second Heisenberg group
Annalisa Baldi, Giovanna Citti, Giovanni Cupini
The aim of this paper is to study a Laplace-type operator and its fundamental solution on the characteristic plane in the Heisenberg group . We introduce a conformal…
Primitives of volume forms in Carnot groups
Annalisa Baldi, Bruno Franchi, Pierre Pansu
In the Euclidean space it is known that a function of a ball, with vanishing average,is the divergence of a vector field with$$\| F\|\_{ L^2(B)} \le C \|f\|\_…
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…
Continuous primitives for higher degree differential forms in Euclidean spaces, Heisenberg groups and applications
Annalisa Baldi, Bruno Franchi, Pierre Pansu
It is shown that higher degree exact differential forms on compact Riemannian -manifolds possess continuous primitives whose uniform norm is controlled by their norm. A co…