dc.contributor.author | Delgado, J | |
dc.contributor.author | Ruzhansky, M | |
dc.date.accessioned | 2021-06-16T11:15:11Z | |
dc.date.available | 2021-06-16T11:15:11Z | |
dc.date.issued | 2021 | |
dc.identifier.uri | https://qmro.qmul.ac.uk/xmlui/handle/123456789/72581 | |
dc.description.abstract | In this work we establish sharp kernel conditions ensuring that the corresponding integral operators belong to Schatten-von Neumann classes. The conditions are given in terms of the spectral properties of operators acting on the kernel. As applications we establish several criteria in terms of different types of differential operators and their spectral asymptotics in different settings: compact manifolds, operators on lattices, domains in ${\mathbb R}^n$ of finite measure, and conditions for operators on ${\mathbb R}^n$ given in terms of anharmonic oscillators. We also give examples in the settings of compact sub-Riemannian manifolds, contact manifolds, strictly pseudo-convex CR manifolds, and (sub-)Laplacians on compact Lie groups. | en_US |
dc.publisher | Elsevier | en_US |
dc.rights | This item is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. | |
dc.subject | math.FA | en_US |
dc.subject | math.FA | en_US |
dc.subject | math.AP | en_US |
dc.subject | math.SP | en_US |
dc.subject | Primary 47G10, 58J40, Secondary 47B10, 22E30 | en_US |
dc.title | Schatten-von Neumann classes of integral operators | en_US |
dc.type | Article | en_US |
dc.rights.holder | © 2021 The Authors. Published by Elsevier Masson SAS. | |
pubs.author-url | http://arxiv.org/abs/1709.06446v1 | en_US |
pubs.notes | Not known | en_US |
rioxxterms.funder | Default funder | en_US |
rioxxterms.identifier.project | Default project | en_US |