A universal Stein-Tomas restriction estimate for measures in three dimensions
| dc.creator | Iosevich, Alex | |
| dc.creator | Roudenko, Svetlana | |
| dc.date | 2007-10-24 | |
| dc.date.accessioned | 2026-07-07T08:38:32Z | |
| dc.date.available | 2026-07-07T08:38:32Z | |
| dc.description | We study restriction estimates in R^3 for surfaces given as graphs of W^1_1(R^2) (integrable gradient) functions. We obtain a "universal" L^2(mu) -> L^4(R^3, L^2(SO(3))) estimate for the extension operator f -> \hat{f mu} in three dimensions. We also prove that the three dimensional estimate holds for any Frostman measure supported on a compact set of Hausdorff dimension greater than two. The approach is geometric and is influenced by a connection with the Falconer distance problem. | |
| dc.identifier | https://arxiv.org/abs/0710.4586 | |
| dc.identifier | http://arxiv.org/abs/0710.4586 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140762 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | A universal Stein-Tomas restriction estimate for measures in three dimensions | |
| dc.type | text |