Subelliptic geometric Hardy type inequalities on half-spaces and convex domains

2018/06/16 by Ruzhansky, Michael, Sabitbek, Bolys, Suragan, Durvudkhan
#35A23 #35H20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1806.06226

Abstract

In this paper we present L² 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.

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