Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part IV: Riesz transforms on manifolds and weights

Details Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part IV: Riesz transforms on manifolds and weights Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part IV: Riesz transforms on manifolds and weights

2006-03-28

arxiv.org/abs/math/0603643v2

Mathematics

Differential Geometry

12 pages. Fourth of 4 papers. Important revision: improvement of main result by eliminating use of Poincar\'e inequalities rep

Scientific paper

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.

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