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math.MG2023
Area of intrinsic graphs in homogeneous groups
Francesca Corni, Valentino Magnani
We establish an area formula for the spherical measure of intrinsic graphs of any codimension in homogeneous groups. Our approach relies on the assumption that the map defining the…
math.AP2023
The fractional powers of the sub-Laplacian in Carnot groups through an analytic continuation
Francesca Corni, Fausto Ferrari
In this paper we construct the fractional powers of the sub-Laplacian in Carnot groups through an analytic continuation approach. In addition, we characterize the powers of the fra…