Journal
ANNALS OF FUNCTIONAL ANALYSIS
Volume 11, Issue 4, Pages 1042-1061Publisher
SPRINGER BASEL AG
DOI: 10.1007/s43034-020-00067-9
Keywords
Stratified groups; Geometric Hardy inequality; Half-space; Convex domain
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Funding
- EPSRC [EP/R003025/1]
- Leverhulme Research Grant [RPG-2017-151]
- FWO Odysseus Grant
- Nazarbayev University [240919FD3901, 091019CRP2120, N090118FD5342]
- EPSRC [EP/R003025/1, EP/R003025/2] Funding Source: UKRI
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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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