A Spectral Multiplier Theorem for Non-Self-Adjoint Operators
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | OUHABAZ, El Maati | |
| dc.date.accessioned | 2024-04-04T02:17:05Z | |
| dc.date.available | 2024-04-04T02:17:05Z | |
| dc.date.created | 2007 | |
| dc.date.issued | 2009 | |
| dc.identifier.issn | 0002-9947 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189195 | |
| dc.description.abstractEn | We prove a spectral multiplier theorem for non-self-adjoint operators. More precisely, we consider non-self-adjoint operators A : D(A) ⊂ L2 → L2 having numerical range in a sector Σ(w) of angle w, and whose heat kernel satisfies a Gaussian upper bound. We prove that for every bounded holomorphic function f on Σ(w), f(A) acts on Lp with Lp−norm estimated by the behavior of a finite number of derivatives of f on the boundary of Σ(w). | |
| dc.language.iso | en | |
| dc.publisher | American Mathematical Society | |
| dc.subject.en | Spectral multipliers | |
| dc.subject.en | harmonic analysis | |
| dc.subject.en | functional calculus | |
| dc.title.en | A Spectral Multiplier Theorem for Non-Self-Adjoint Operators | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1090/S0002-9947-09-04754-0 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| bordeaux.journal | Transactions of the American Mathematical Society | |
| bordeaux.page | 6567-6582 | |
| bordeaux.volume | 361 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 12 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00998115 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00998115v1 | |
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