Weighted norm inequalities, off-diagonal estimates and elliptic   operators. Part IV: Riesz transforms on manifolds and weights
  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. 
Pascal Auscher (LM-Orsay), Jos\'e Maria Martell (IMFF)