4 papers · 1 filter
A heat equation approach to intertwining
Nicola Garofalo, Giulio Tralli
In this paper we present a new approach based on the heat equation and extension problems to some intertwining formulas arising in conformal CR geometry.
Feeling the heat in a group of Heisenberg type
Nicola Garofalo, Giulio Tralli
In this paper we use the heat equation in a group of Heisenberg type to provide a unified treatment of the two very different extension problems for the time independe…
A Bourgain-Brezis-Mironescu-Dávila theorem in Carnot groups of step two
Nicola Garofalo, Giulio Tralli
In this note we prove the following theorem in any Carnot group of step two : \[ \underset{s\nearrow 1/2}{\lim} (1 - 2s) \mathfrak P_{H,s}(E) = \frac{4}{\sqrt π}\ \math…
On the limiting behaviour of some nonlocal seminorms: a new phenomenon
Federico Buseghin, Nicola Garofalo, Giulio Tralli
In this note we study the behaviour as of some semigroup based Besov seminorms associated with a non-symmetric and hypoelliptic diffusion with a drift. Our results gener…