Universal L^p improving for averages along polynomial curves in low dimensions
| dc.creator | Dendrinos, Spyridon | |
| dc.creator | Laghi, Norberto | |
| dc.creator | Wright, James | |
| dc.date | 2008-05-28 | |
| dc.date | 2008-07-07 | |
| dc.date.accessioned | 2026-07-07T09:48:26Z | |
| dc.date.available | 2026-07-07T09:48:26Z | |
| dc.description | We prove sharp $L^p-L^q$ estimates for averaging operators along general polynomial curves in two and three dimensions. These operators are translation-invariant, given by convolution with the so-called affine arclength measure of the curve and we obtain universal bounds over the class of curves given by polynomials of bounded degree. Our method relies on a geometric inequality for general vector polynomials together with a combinatorial argument due to M. Christ. Almost sharp Lorentz space estimates are obtained as well. | |
| dc.description | 21 pages, with revised introduction and updated references | |
| dc.identifier | https://arxiv.org/abs/0805.4344 | |
| dc.identifier | http://arxiv.org/abs/0805.4344 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164213 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42B10 | |
| dc.title | Universal L^p improving for averages along polynomial curves in low dimensions | |
| dc.type | text |