Young Women in Harmonic Analysis and PDE

December 2-4, 2016

Kamilia Dahmani (Université Paul Sabatier)

Sharp dimension-free weighted bounds for the Bakry-Riesz vector on a compact Riemannian manifold

We present a sharp estimate of the Riesz transform in the weighted case on a compact Riemannian manifold with positive Bakry-Emery curvature, using a Bellman function proof.