Riesz transform and perturbation

Thierry Coulhon; Nicholas Dungey

doi:10.1007/BF02930721

Riesz transform and perturbation

Thierry Coulhon
, Nicholas Dungey

CY Cergy Paris Université
University of New South Wales

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We prove that, on a complete noncompact Riemannian manifold with bounded geometry, the L ^p boundedness of the Riesz transform, for p>2, is stable under a quasi-isometric and integrable change of metric. As an intermediate step, we treat the case of weighted divergence form operators in the Euclidean space.

langue originale	Anglais
Pages (de - à)	213-226
Nombre de pages	14
journal	Journal of Geometric Analysis
Volume	17
Numéro de publication	2
Les DOIs	https://doi.org/10.1007/BF02930721
état	Publié - 1 déc. 2007
Modification externe	Oui

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10.1007/BF02930721

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AB - We prove that, on a complete noncompact Riemannian manifold with bounded geometry, the L p boundedness of the Riesz transform, for p>2, is stable under a quasi-isometric and integrable change of metric. As an intermediate step, we treat the case of weighted divergence form operators in the Euclidean space.

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Riesz transform and perturbation

Résumé

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