A note on the cone restriction conjecture in the cylindrically symmetric case
| dc.creator | Shao, Shuanglin | |
| dc.date | 2007-10-08 | |
| dc.date | 2008-06-20 | |
| dc.date.accessioned | 2026-07-07T09:45:28Z | |
| dc.date.available | 2026-07-07T09:45:28Z | |
| dc.description | In this note, we present two arguments showing that the classical \textit{linear adjoint cone restriction conjecture} holds for the class of functions supported on the cone and invariant under the spatial rotation in all dimensions. The first is based on a dyadic restriction estimate, while the second follows from a strengthening version of the Hausdorff-Young inequality and the Hölder inequality in the Lorentz spaces. | |
| dc.description | 9 pages, no figures. Referee's suggestions and comments incorporated; to appear the Proceedings of the AMS | |
| dc.identifier | https://arxiv.org/abs/0710.1466 | |
| dc.identifier | http://arxiv.org/abs/0710.1466 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163203 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 42B10; 42B25; 35L05 | |
| dc.title | A note on the cone restriction conjecture in the cylindrically symmetric case | |
| dc.type | text |