Hardy and uncertainty inequalities on stratified Lie groups

Paolo Ciatti, Michael G. Cowling, Fulvio Ricci

We prove various Hardy-type and uncertainty inequalities on a stratified Lie group $G$. In particular, we show that the operators $T_{\alpha }:f\mapsto |.{|}^{-\alpha }{L}^{-\alpha /2}f$, where $|.|$…