Sharp estimates for pseudodifferential operators with symbols of limited smoothness and commutators
| dc.creator | Lannes, David | |
| dc.date | 2005-08-24 | |
| dc.date.accessioned | 2026-07-07T05:22:39Z | |
| dc.date.available | 2026-07-07T05:22:39Z | |
| dc.description | We consider here pseudo-differential operators whose symbol $σ(x,ξ)$ is not infinitely smooth with respect to $x$. Decomposing such symbols into four -sometimes five- components and using tools of paradifferential calculus, we derive sharp estimates on the action of such pseudo-differential operators on Sobolev spaces and give explicit expressions for their operator norm in terms of the symbol $σ(x,ξ)$. We also study commutator estimates involving such operators, and generalize or improve the so-called Kato-Ponce and Calderon-Coifman-Meyer estimates in various ways. | |
| dc.description | Accepted for publication in Journal of Functional Analysis | |
| dc.identifier | https://arxiv.org/abs/math/0508465 | |
| dc.identifier | http://arxiv.org/abs/math/0508465 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76142 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Functional Analysis | |
| dc.title | Sharp estimates for pseudodifferential operators with symbols of limited smoothness and commutators | |
| dc.type | text |