A note on precised Hardy inequalities on Carnot groups and Riemannian manifolds

Emmanuel Russ (1) , Yannick Sire (1)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités

We prove non local Hardy inequalities on Carnot groups and Riemannian manifolds, relying on integral representations of fractional Sobolev norms.

Domaines: Analyse fonctionnelle [math.FA]

Emmanuel Russ, Yannick Sire. A note on precised Hardy inequalities on Carnot groups and Riemannian manifolds. 2010. ⟨hal-00463651⟩