We first show a dimensionless weighted $L^2$ estimate for the Bakry Riesz vector on Riemannian manifolds with bounded geometry by exhibiting a concrete Bellman function. Then, using a Gundy-Varopoulos type stochastic representation of the Bakry Riesz vector, we use a sparse domination with continuous parameter which offers a new dimensionless, sharp $L^p$ estimate in the weighted setting.
Sharp and dimensionless weighted $L^p$ estimate for the Bakry Riesz vector on Riemannian manifolds
- Se connecter pour poster des commentaires
Nom de l'orateur
Kamilia Dahmani
Etablissement de l'orateur
Université Paul Sabatier Toulouse III
Date et heure de l'exposé
Lieu de l'exposé
Salle des seminaires