Riesz transform and perturbation

Thierry Coulhon; Nicholas Dungey

doi:10.1007/BF02930721

Riesz transform and perturbation

Thierry Coulhon
, Nicholas Dungey

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	213-226
Number of pages	14
Journal	Journal of Geometric Analysis
Volume	17
Issue number	2
DOIs	https://doi.org/10.1007/BF02930721
Publication status	Published - 1 Dec 2007
Externally published	Yes

Keywords

Riesz transform
perturbation

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10.1007/BF02930721

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title = "Riesz transform and perturbation",

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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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KW - perturbation

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JO - Journal of Geometric Analysis

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Riesz transform and perturbation

Abstract

Keywords

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