Littlewood-Paley-Stein Functions for Hodge-de Rham and Schrödinger Operators
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | COMETX, Thomas | |
dc.date | 2021 | |
dc.date.accessioned | 2024-04-04T02:58:14Z | |
dc.date.available | 2024-04-04T02:58:14Z | |
dc.date.created | 2020-12-21 | |
dc.date.issued | 2021 | |
dc.identifier.issn | 1050-6926 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192639 | |
dc.description.abstractEn | We study the Littlewood-Paley-Stein functions associated with Hodge-de Rham and Schrödinger operators on Riemannian manifolds. Under conditions on the Ricci curvature we prove their boundedness on L p for p in some interval (p 1 , 2] and make a link to the Riesz Transform. An important fact is that we do not make assumptions of doubling measure or estimates on the heat kernel in this case. For p > 2 we give a criterion to obtain the boundedness of the vertical Littlewood-Paley-Stein function associated with Schrödinger operators on L p . | |
dc.description.sponsorship | Analyse Réelle et Géométrie - ANR-18-CE40-0012 | |
dc.language.iso | en | |
dc.publisher | Springer | |
dc.title.en | Littlewood-Paley-Stein Functions for Hodge-de Rham and Schrödinger Operators | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1007/s12220-020-00569-x | |
dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
dc.identifier.arxiv | 1912.08471 | |
bordeaux.journal | The Journal of Geometric Analysis | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-02416797 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-02416797v1 | |
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