Abstract
In this paper we present L2 and 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.
Original language | English |
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Pages (from-to) | 1042-1061 |
Number of pages | 20 |
Journal | Annals of Functional Analysis |
Volume | 11 |
Issue number | 4 |
DOIs | |
Publication status | Accepted/In press - 2020 |
Keywords
- Convex domain
- Geometric Hardy inequality
- Half-space
- Stratified groups
ASJC Scopus subject areas
- Analysis
- Anatomy
- Algebra and Number Theory