Riesz transform on manifolds and Poincar\'{e} inequalities
Differential Geometry
2007-05-23 v1 Classical Analysis and ODEs
Abstract
We study the validity of the inequality for the Riesz transform when and of its reverse inequality when on complete Riemannian manifolds under the doubling property and some Poincar\'e inequalities.
Keywords
Cite
@article{arxiv.math/0504221,
title = {Riesz transform on manifolds and Poincar\'{e} inequalities},
author = {Pascal Auscher and Thierry Coulhon},
journal= {arXiv preprint arXiv:math/0504221},
year = {2007}
}