A. Baldi

activity

20152026

most cited

L^{1}

-Poincaré inequalities for differential forms on Euclidean spaces and Heisenberg groups

3 citations · 9 across the 8 of their papers we have counts for

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4 papers · 1 filter

math.AP2026

$L^{p}$ -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…

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