The coarea formula for Sobolev mappings
| dc.creator | Maly, Jan | |
| dc.creator | Swanson, David | |
| dc.creator | Ziemer, William P. | |
| dc.date | 2001-12-01 | |
| dc.date.accessioned | 2026-07-07T04:44:56Z | |
| dc.date.available | 2026-07-07T04:44:56Z | |
| dc.description | We extend Federer's coarea formula to mappings $f$ belonging to the Sobolev class $W^{1,p}(R^n;R^m)$, $1 \le m < n$, $p>m$, and more generally, to mappings with gradient in the Lorentz space $L^{m,1}(R^n)$. This is accomplished by showing that the graph of $f$ in $R^{n+m}$ is a Hausdorff $n$-rectifiable set. | |
| dc.description | Submitted for publication, 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0112008 | |
| dc.identifier | http://arxiv.org/abs/math/0112008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62792 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 46E35, 46E30 | |
| dc.title | The coarea formula for Sobolev mappings | |
| dc.type | text |