Fractional Laplacians and Nilpotent Lie Groups

Diego Chamorro (1) , Oscar Jarrin (1)

1 LAP - Laboratoire Analyse et Probabilités

The aim of this short article is to generalize, with a slighthly different point of view, some new results concerning the fractional powers of the Laplace operator to the setting of Nilpotent Lie Groups and to study its relationship with the solutions of a partial differential equation in the spirit of the articles of Caffarelli & Silvestre and Stinga & Torrea.

Mots clés: Nilpotent Lie Groups; Fractional powers of the Laplacian; Extension Problem

Domaines: Analyse fonctionnelle [math.FA]; Equations aux dérivées partielles [math.AP]

Diego Chamorro, Oscar Jarrin. Fractional Laplacians and Nilpotent Lie Groups. 2014. ⟨hal-01065051⟩