Riesz transform on manifolds and Poincaré inequalities

Pascal Auscher; Thierry Coulhon

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Riesz transform on manifolds and Poincaré inequalities

Pascal Auscher·Thierry Coulhon

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Abstract

We study the validity of the $L^p$ inequality for the Riesz transform when $p>2$ and of its reverse inequality when $p<2$ on complete Riemannian manifolds under the doubling property and some Poincaré inequalities.

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BibTeX RIS

Pascal Auscher, Thierry Coulhon. 2005-04-11. Riesz transform on manifolds and Poincaré inequalities. https://arxiv.org/abs/math/0504221

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