Geometric Hardy and Hardy–Sobolev inequalities on Heisenberg groups
In this paper, we present geometric Hardy inequalities for the sub-Laplacian in half-spaces of stratified groups. As a consequence, we obtain the following geometric Hardy inequality in a half-space of the Heisenberg group with a sharp constant: ∫ℍ+|∇Hu|pdξ ≥ p − 1 pp∫ℍ+ 𝒲(ξ)p dist(ξ,∂ℍ+)p|u|pdξ,...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
World Scientific Publishing
2020-12-01
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| Series: | Bulletin of Mathematical Sciences |
| Subjects: | |
| Online Access: | http://www.worldscientific.com/doi/epdf/10.1142/S1664360720500162 |