Carleson's theorem with quadratic phase
| dc.creator | Lacey, Michael | |
| dc.date | 2001-05-18 | |
| dc.date.accessioned | 2026-07-07T04:41:46Z | |
| dc.date.available | 2026-07-07T04:41:46Z | |
| dc.description | Carleson's theorem on the pointwise convergence of Fourier series provides bounds for a maximal operator, with the maximum taken over all choices of linear functions of a phase argument. We extend this to all quadratic choices of phase functions. Specifically, we show that the maximal operator below maps $L^p$ into itself for $1<p<\infty$. $$ \sup_a \sup_b |\int e^{i(ay^2+by)}f(x-y)dy/y| $$ | |
| dc.identifier | https://arxiv.org/abs/math/0105159 | |
| dc.identifier | http://arxiv.org/abs/math/0105159 | |
| dc.identifier | Studia Math. 153 (2002), no. 3, 249--267 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61497 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42 | |
| dc.title | Carleson's theorem with quadratic phase | |
| dc.type | text |