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

Published 16 Jun 2018 in math.AP and math.FA | (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.

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