Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part IV: Riesz transforms on manifolds and weights
arXiv:math/0603643 · doi:10.1007/s00209-007-0286-1
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.
12 pages. Fourth of 4 papers. Important revision: improvement of main result by eliminating use of Poincaré inequalities replaced by the weaker Gaussian keat kernel bounds