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

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

References in corpus (1)

• Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part I: General operator theory and weights

Cited by in corpus (5)

• Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part I: General operator theory and weights
• On the Kato problem and extensions for degenerate elliptic operators
• Quadratic sparse domination and Weighted Estimates for non-integral Square Functions
• Real interpoaltion of Sobolev spaces associated to a weight
• Weak and strong type $A_1$-$A_{\infty }$ estimates for sparsely dominated operators