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math.AP2024
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…
math.AP2024
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\|\_…
math.AP2024
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…