Pseudodifferential operators with rough symbols
| dc.creator | Stefanov, Atanas | |
| dc.date | 2007-01-29 | |
| dc.date.accessioned | 2026-07-07T07:43:39Z | |
| dc.date.available | 2026-07-07T07:43:39Z | |
| dc.description | In this work, we develop $L^p$ boundedness theory for pseudodifferential operators with rough (not even continuous in general) symbols in the $x$ variable. Moreover, the $B(L^p)$ operator norms are estimated explicitly in terms of scale invariant quantities involving the symbols. All the estimates are shown to be sharp with respect to the required smoothness in the $ξ$ variable. As a corollary, we obtain $L^p$ bounds for (smoothed out versions of) the maximal directional Hilbert transform and the Carleson operator. | |
| dc.identifier | https://arxiv.org/abs/math/0701856 | |
| dc.identifier | http://arxiv.org/abs/math/0701856 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122910 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Functional Analysis | |
| dc.subject | 47G30, 35S05, 42A45, 42B15 | |
| dc.title | Pseudodifferential operators with rough symbols | |
| dc.type | text |