Riesz transforms associated to Schrödinger operators with negative potentials
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ASSAAD, Joyce | |
| dc.date.accessioned | 2024-04-04T02:32:56Z | |
| dc.date.available | 2024-04-04T02:32:56Z | |
| dc.date.issued | 2009 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190429 | |
| dc.description | Preprint | |
| dc.description.abstractEn | The 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.iso | en | |
| dc.subject.en | Riemannian manifolds | |
| dc.subject.en | Riesz transforms | |
| dc.subject.en | Schrödinger operators | |
| dc.subject.en | off-diagonal estimates | |
| dc.subject.en | singular operators | |
| dc.subject.en | Riemannian manifolds. | |
| dc.title.en | Riesz transforms associated to Schrödinger operators with negative potentials | |
| dc.type | Autre document | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.identifier.arxiv | 0909.4595 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-00382824 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00382824v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2009&rft.au=ASSAAD,%20Joyce&rft.genre=unknown |
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