A. Baldi

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20242026

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math.AP2026

$L^{p}$ -Hodge decomposition and global integral estimates on the Cartan group

Annalisa Baldi, Alessandro Rosa

The study of Sobolev and PoincarÃ© inequalities for differential forms in Carnot groups and in the more general sub-Riemannian setting is still an open problem in its full generali…

math.AP2025

$L^{p}$ -Hodge Decomposition with Sobolev classes in Sub-Riemannian Contact Manifolds

Annalisa Baldi, Alessandro Rosa

Let $1 < p < \infty$ . In this article we establish an $L^{p}$ -Hodge decomposition theorem on sub-Riemannian compact contact manifolds without boundary, related to the Rumin complex of di…

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 $H^{2}$ . 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 $f \in L^{2}$ of a ball, with vanishing average,is the divergence of a vector field $F \in L^{2}$ with$$\| F\|\_{ L^2(B)} \le C \|f\|\_…

Lp-Hodge decomposition and global integral estimates on the Cartan group

Lp-Hodge Decomposition with Sobolev classes in Sub-Riemannian Contact Manifolds

A representation formula for regular functions on the characteristic plane of the second Heisenberg group

Primitives of volume forms in Carnot groups

$L^{p}$ -Hodge decomposition and global integral estimates on the Cartan group

$L^{p}$ -Hodge Decomposition with Sobolev classes in Sub-Riemannian Contact Manifolds