The bilinear maximal functions map into L^p for 2/3 < p <= 1
| dc.creator | Lacey, Michael T. | |
| dc.date | 2000-08-02 | |
| dc.date.accessioned | 2026-07-07T04:36:38Z | |
| dc.date.available | 2026-07-07T04:36:38Z | |
| dc.description | The bilinear maximal operator defined below maps $L^p\times L^q$ into $L^r$ provided $1<p,q<\zI$, $1/p+1/q=1/r$ and $2/3<r\le1$. $$ Mfg(x)=\sup_{t>0}\frac1{2t}\int_{-t}^t\abs{f(x+y)g(x-y)} dy.$$ In particular $Mfg$ is integrable\thinspace if $f$ and $g$ are square integrable, answering a conjecture posed by Alberto Calderón. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0008019 | |
| dc.identifier | http://arxiv.org/abs/math/0008019 | |
| dc.identifier | Ann. of Math. (2) 151 (2000), no. 1, 35-57 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59668 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42B25 | |
| dc.title | The bilinear maximal functions map into L^p for 2/3 < p <= 1 | |
| dc.type | text |