Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part IV: Riesz transforms on manifolds and weights
Differential Geometry
2018-10-10 v2 Analysis of PDEs
Abstract
This is the fourth article of our series. Here, we study weighted norm inequalities for the Riesz transform of the Laplace-Beltrami operator on Riemannian manifolds and of subelliptic sum of squares on Lie groups, under the doubling volume property and Gaussian upper bounds.
Keywords
Cite
@article{arxiv.math/0603643,
title = {Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part IV: Riesz transforms on manifolds and weights},
author = {Pascal Auscher and José Maria Martell},
journal= {arXiv preprint arXiv:math/0603643},
year = {2018}
}
Comments
12 pages. Fourth of 4 papers. Important revision: improvement of main result by eliminating use of Poincar\'e inequalities replaced by the weaker Gaussian keat kernel bounds