Riesz transform on manifolds and Poincaré inequalities

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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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Differential Geometry, Classical Analysis and ODEs, MSC 2000: 58J35, 42B20

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http://salesiana.dossiersoluciones.com/handle/123456789/74859

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504221
 http://arxiv.org/abs/math/0504221

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arXiv