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

2020

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DOI 10.1007/s43034-020-00067-9
Data confidence 70 medium
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Abstract

Abstract In this paper we present $$L^2$$ L2 and $$L^p$$ Lp 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.