25 citations · 36 across the 8 of their papers we have counts for
8 papers
Global Heat Kernels for Parabolic Homogeneous Hörmander Operators
Stefano Biagi, Andrea Bonfiglioli
The aim of this paper is to prove the existence and several selected properties of a global fundamental Heat kernel for the parabolic operators $\mathcal{H}=\sum_{j=1}^m X_j^2-…
Global estimates in Sobolev spaces for homogeneous Hörmander sums of squares
Stefano Biagi, Andrea Bonfiglioli, Marco Bramanti
Let be a Hörmander sum of squares of vector fields in space , where any is homogeneous of degree with respect to a family o…
Global estimates for the fundamental solution of homogeneous Hörmander operators
Stefano Biagi, Andrea Bonfiglioli, Marco Bramanti
Let be a Hörmander sum of squares of vector fields in , where any is homogeneous of degree with respect to a famil…
On the Baker-Campbell-Hausdorff Theorem: non-convergence and prolongation issues
Stefano Biagi, Andrea Bonfiglioli, Marco Matone
We investigate some topics related to the celebrated Baker-Campbell-Hausdorff Theorem: a non-convergence result and prolongation issues. Given a Banach algebra with i…
The existence of a global fundamental solution for homogeneous Hörmander operators via a global lifting method
Stefano Biagi, Andrea Bonfiglioli
We prove the existence of a global fundamental solution (with pole ) for any Hörmander operator on which is -homogene…
A Hardy Inequality for subelliptic operators with global fundamental solution, and an application to Unique Continuation
Stefano Biagi, Andrea Bonfiglioli
This is a chapter from PhD Thesis by Stefano Biagi (advisor: prof. A. Bonfiglioli). We overview existing results showing that it is possible to generalize the classical Hardy's Ine…
A Hadamard-type open map theorem for submersions and applications to completeness results in Control Theory
Andrea Bonfiglioli, Annamaria Montanari, Daniele Morbidelli
We prove a quantitative openness theorem for submersions under suitable assumptions on the differential. We then apply our result to a class of exponential maps appearing in…
The Strong Maximum Principle and the Harnack inequality for a class of hypoelliptic divergence-form operators
Erika Battaglia, Stefano Biagi, Andrea Bonfiglioli
In this paper we consider a class of hypoelliptic second-order partial differential operators in divergence form on , arising from CR geometry and Lie g…