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math.AP2019★ 5 cited
Hardy-type inequalities for the Carnot-Carathéodory distance in the Heisenberg group
Valentina Franceschi, Dario Prandi
In this paper we study various Hardy inequalities in the Heisenberg group , w.r.t. the Carnot-Carathéodory distance from the origin. We firstly show that the optim…
math.AP2019★ 5 cited
Point interactions for 3D sub-Laplacians
Riccardo Adami, Ugo Boscain, Valentina Franceschi +1
In this paper we show that, for a sub-Laplacian on a -dimensional manifold , no point interaction centered at a point exists. When is complete w.r.t. the a…