On Stein's Conjecture on the Polynomial Carleson Operator
| dc.creator | Lie, Victor | |
| dc.date | 2008-05-12 | |
| dc.date.accessioned | 2026-07-07T09:38:19Z | |
| dc.date.available | 2026-07-07T09:38:19Z | |
| dc.description | We prove that the generalized Carleson operator $C_d$ with polynomial phase function is of strong type $(p,r)$, $1<r<p<\infty$; this yields a positive answer in the $1<p<2$ case to a conjecture of Stein which asserts that for $1<p<\infty$ we have that $C_d$ is of strong type $(p,p)$. A key ingredient in this proof is the further extension of the {\it relational} time-frequency perspective (introduced in \cite{q}) to the general polynomial phase. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/0805.1580 | |
| dc.identifier | http://arxiv.org/abs/0805.1580 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160763 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42A20; 42A50 | |
| dc.title | On Stein's Conjecture on the Polynomial Carleson Operator | |
| dc.type | text |