Riesz transform on manifolds and Poincaré inequalities

Details Riesz transform on manifolds and Poincaré inequalities Riesz transform on manifolds and Poincaré inequalities

2005-04-11

arxiv.org/abs/math/0504221v1

Mathematics

Differential Geometry

Scientific paper

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 Poincar\'e inequalities.

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