Sharp $L^p$-$L^q$ estimates for generalized $k$-plane transforms
| dc.creator | Gressman, Philip T. | |
| dc.date | 2007-01-04 | |
| dc.date.accessioned | 2026-07-07T07:38:35Z | |
| dc.date.available | 2026-07-07T07:38:35Z | |
| dc.description | In this paper, optimal $L^p-L^q$ estimates are obtained for operators which average functions over polynomial submanifolds, generalizing the $k$-plane transform. An important advance over previous work is that full $L^p-L^q$ estimates are obtained by methods which have traditionally yielded only restricted weak-type estimates. In the process, one is lead to make coercivity estimates for certain functionals on $L^p$ for $p < 1$. | |
| dc.description | 23 pages; 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0701114 | |
| dc.identifier | http://arxiv.org/abs/math/0701114 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121137 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Sharp $L^p$-$L^q$ estimates for generalized $k$-plane transforms | |
| dc.type | text |