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Riesz transforms associated to Schrödinger operators with negative potentials

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorASSAAD, Joyce
dc.date.accessioned2024-04-04T02:32:56Z
dc.date.available2024-04-04T02:32:56Z
dc.date.issued2009
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190429
dc.descriptionPreprint
dc.description.abstractEnThe goal of this paper is to study the Riesz transforms $\na A^{-1/2}$ where $A$ is the Schr\"{o}dinger operator $-\D-V,\ \ V\ge 0$, under different conditions on the potential $V$. We prove that if $V$ is strongly subcritical, $\na A^{-1/2}$ is bounded on $L^p(\R^N)$ , $N\ge3$, for all $p\in(p_0';2]$ where $p_0'$ is the dual exponent of $p_0$ where $2<\frac{2N}{N-2}
dc.language.isoen
dc.subject.enRiemannian manifolds
dc.subject.enRiesz transforms
dc.subject.enSchrödinger operators
dc.subject.enoff-diagonal estimates
dc.subject.ensingular operators
dc.subject.enRiemannian manifolds.
dc.title.enRiesz transforms associated to Schrödinger operators with negative potentials
dc.typeAutre document
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
dc.identifier.arxiv0909.4595
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-00382824
hal.version1
hal.popularnon
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00382824v1
bordeaux.COinSctx_ver=Z39.88-2004&amp;rft_val_fmt=info:ofi/fmt:kev:mtx:journal&amp;rft.date=2009&amp;rft.au=ASSAAD,%20Joyce&amp;rft.genre=unknown


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