## 2 événements

• Séminaire d’Analyse Réelle

### Lundi 18 juin 2018 15:00-16:00 - Kristina Škreb - Institut de Mathématiques de Toulouse

Bellman functions and L^p estimates for paraproducts

Résumé : We regard dyadic paraproducts as trilinear forms. Even though they are well-known to satisfy $L^p$ estimates in the whole Banach range of exponents, one might want to give a direct proof or study the behavior of the constants. We find an explicit formula for one possible Bellman function associated with the $L^p$ boundedness of dyadic paraproducts in the spirit of the Bellman function by Nazarov, Treil, and Volberg. Then we apply the same Bellman function in various other settings, to give self-contained alternative proofs of the estimates for several classical operators. These include the martingale paraproducts of Bañuelos and Bennett and the paraproducts with respect to the heat flows. This is a joint work with Vjekoslav Kovač (University of Zagreb).

Lieu : Bâtiment 1R1, salle 106

• Séminaire Modélisation, Analyse et Calcul

### Mardi 19 juin 2018 -

Pas de séminaire pour cause de conférence