Subelliptic geometric Hardy type inequalities on half-spaces and convex domains (1806.06226v1)

Abstract: In this paper we present $L^2$ and $L^p$ versions of the geometric Hardy inequalities in half-spaces and convex domains on stratified (Lie) groups. As a consequence, we obtain the geometric uncertainty principles. We give examples of the obtained results for the Heisenberg and the Engel groups.