Pseudo-localization of singular integrals and noncommutative Calderon-Zygmund theory
| dc.creator | Parcet, Javier | |
| dc.date | 2007-04-23 | |
| dc.date.accessioned | 2026-07-07T07:57:49Z | |
| dc.date.available | 2026-07-07T07:57:49Z | |
| dc.description | In this paper we obtain the weak type (1,1) boundedness of Calderon-Zygmund operators acting over operator-valued functions. Our main tools for its solution are a noncommutative form of Calderon-Zygmund decomposition in conjunction with a pseudo-localization principle for singular integrals, which is new even in the classical setting and of independent interest. Perhaps because of the hidden role of pseudo-localization and almost orthogonality, this problem has remained open for quite some time. We also consider Calderon-Zygmund operators associated to certain operator-valued kernels. | |
| dc.description | 72 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/0704.2950 | |
| dc.identifier | http://arxiv.org/abs/0704.2950 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127787 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Operator Algebras | |
| dc.subject | 42B20, 42B25, 46L51, 46L52, 46L53. | |
| dc.title | Pseudo-localization of singular integrals and noncommutative Calderon-Zygmund theory | |
| dc.type | text |