Geometric Hardy inequalities for the sub-elliptic Laplacian on convex domains in the Heisenberg group
Abstract We prove geometric $$L^p$$ L p versions of Hardy’s inequality for the sub-elliptic Laplacian on convex domains $$\Omega $$ Ω in the Heisenberg group $$\mathbb {H}^n$$ H n , where convex is meant in the Euclidean sense. When $$p=2$$ p = 2 and $$\Omega $$ Ω is the half-space given by $$\langl...
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| Format: | Article |
| Language: | English |
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World Scientific Publishing
2016-04-01
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| Series: | Bulletin of Mathematical Sciences |
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| Online Access: | http://link.springer.com/article/10.1007/s13373-016-0083-4 |