Sobolev, AV;
(2014)
On the Schatten-von Neumann properties of some pseudo-differential operators.
JOURNAL OF FUNCTIONAL ANALYSIS
, 266
(9)
5886 - 5911.
10.1016/j.jfa.2014.02.038.
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Abstract
We obtain a number of explicit estimates for quasi-norms of pseudo-differential operators in the Schatten–von Neumann classes Sq with 0<q10<q1. The estimates are applied to derive semi-classical bounds for operators with smooth or non-smooth symbols.
| Type: | Article |
|---|---|
| Title: | On the Schatten-von Neumann properties of some pseudo-differential operators |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.jfa.2014.02.038 |
| Publisher version: | http://dx.doi.org/10.1016/j.jfa.2014.02.038 |
| Additional information: | ©2014 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/3.0/). |
| Keywords: | Pseudo-differential operators, Schatten-von Neumann classes |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1460991 |
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