$L^p$-continuity for Calderón--Zygmund operator
| dc.creator | Yang, Q X | |
| dc.date | 2006-07-26 | |
| dc.date.accessioned | 2026-07-07T07:20:57Z | |
| dc.date.available | 2026-07-07T07:20:57Z | |
| dc.description | Given a Calderón--Zygmund (C--Z for short) operator $T$, which satisfies Hörmander condition, we prove that: if $T$ maps all the characteristic atoms to $WL^{1}$, then $T$ is continuous from $L^{p}$ to $L^{p}(1<p<\infty)$. So the study of strong continuity on arbitrary function in $L^{p}$ has been changed into the study of weak continuity on characteristic functions. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0607657 | |
| dc.identifier | http://arxiv.org/abs/math/0607657 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115135 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42B20 | |
| dc.title | $L^p$-continuity for Calderón--Zygmund operator | |
| dc.type | text |