An extension and trace theorem for functions of H-bounded variation in Carnot groups of step 2
| dc.creator | Selby, Christina | |
| dc.date | 2005-10-17 | |
| dc.date.accessioned | 2026-07-07T06:47:33Z | |
| dc.date.available | 2026-07-07T06:47:33Z | |
| dc.description | This paper provides an extension for a function $u \in BV_H(Ω)$ to a function $u_0 \in BV_H(G)$ when $Ω$ is ``H-admissible,'' and G is a step 2 Carnot group. It is shown that H-admissible domains include non-characteristic domains and domains in groups of Heisenberg type which have a partial symmetry about characteristic points. An example is given of a domain that is $C^{1,α}$, $α<1$, that is not H-admissible. Further, when $Ω$ is H-admissible a trace theorem is proved for $u \in BV_H(Ω)$. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0510350 | |
| dc.identifier | http://arxiv.org/abs/math/0510350 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103692 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 46E35; 22E25 | |
| dc.title | An extension and trace theorem for functions of H-bounded variation in Carnot groups of step 2 | |
| dc.type | text |