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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorCOMETX, Thomas
dc.date2021
dc.date.accessioned2024-04-04T02:58:14Z
dc.date.available2024-04-04T02:58:14Z
dc.date.created2020-12-21
dc.date.issued2021
dc.identifier.issn1050-6926
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192639
dc.description.abstractEnWe 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.sponsorshipAnalyse Réelle et Géométrie - ANR-18-CE40-0012
dc.language.isoen
dc.publisherSpringer
dc.title.enLittlewood-Paley-Stein Functions for Hodge-de Rham and Schrödinger Operators
dc.typeArticle de revue
dc.identifier.doi10.1007/s12220-020-00569-x
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.identifier.arxiv1912.08471
bordeaux.journalThe Journal of Geometric Analysis
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02416797
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02416797v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=The%20Journal%20of%20Geometric%20Analysis&rft.date=2021&rft.eissn=1050-6926&rft.issn=1050-6926&rft.au=COMETX,%20Thomas&rft.genre=article


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