Abstract
We present geometric Hardy inequalities on starshaped sets in Carnot groups. Also, we obtain geometric Hardy inequalities on half-spaces for general vector fields.
| Original language | English |
|---|---|
| Journal | Journal of Convex Analysis |
| Volume | 28 |
| Issue number | 3 |
| Publication status | Published - 2021 |
Funding
The first author was supported by the EPSRC Grant EP/R003025/1, by the Leverhulme Research Grant RPG-2017-151, and by the FWO Odysseus grant G.0H94.18N. The second author was supported by the EPSRC Grant EP/R003025/1 and by the Nazarbayev University grant 090118FD5342. The third author was supported by the Nazarbayev University program 091019CRP2120 and the Nazarbayev University grant 240919FD3901.
Keywords
- Carnot group
- Geometric Hardy inequality
- Starshaped set
- Sub-Riemannian manifold
ASJC Scopus subject areas
- Analysis
- General Mathematics