Dimensionless $L^p$ estimates for the Riesz vector

Nom de l'orateur
Kristina Å kreb
Etablissement de l'orateur
Université de Toulouse
Date et heure de l'exposé
Lieu de l'exposé
salle des séminaires
We present a new proof of the dimensionless $L^p$ boundedness of the Riesz vector on manifolds with bounded geometry. The key ingredients of the proof are sparse domination and probabilistic representation of the Riesz vector. This type of proof has the significant advantage that it allows for a much stronger conclusion, giving us a new dimensionless weighted $L^p$ estimate.