The weak-type $(1,1)$ of Fourier integral operators of order $-(n-1)/2$
| dc.creator | Tao, Terence | |
| dc.date | 2002-01-23 | |
| dc.date | 2002-06-11 | |
| dc.date.accessioned | 2026-07-07T04:46:04Z | |
| dc.date.available | 2026-07-07T04:46:04Z | |
| dc.description | Let $T$ be a Fourier integral operator on $\R^n$ of order $-(n-1)/2$. It was shown by Seeger, Sogge, and Stein that $T$ mapped the Hardy space $H^1$ to $L^1$. In this note we show that $T$ is also of weak-type $(1,1)$. The main ideas are a decomposition of $T$ into non-degenerate and degenerate components, and a factorization of the non-degenerate portion. | |
| dc.description | 17 pages, no figures, to appear, J. Aust. Math. Soc. Minor grammatical changes and some more references added | |
| dc.identifier | https://arxiv.org/abs/math/0201220 | |
| dc.identifier | http://arxiv.org/abs/math/0201220 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63184 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42B20 | |
| dc.title | The weak-type $(1,1)$ of Fourier integral operators of order $-(n-1)/2$ | |
| dc.type | text |