# 15 novembre 2022: 1 événement

### Mardi 15 novembre 13:45-14:45 - Runlian Xia - University of Glasgow

Asymmetric Burkholder inequalities in noncommutative symmetric spaces

Résumé : This talk is about noncommutative Burkholder inequalities with asymmetric maximal diagonal term in symmetric operator spaces. We established a duality result between the asymmetric vector-valued spaces $E(\mathcal M ;\ell_\infty^\theta)$ and $E(\mathcal M ;\ell_1^\theta)$, and a complex interpolation result for $E(\mathcal M ;\ell_\infty^\theta)$. These are the two key ingredients of our proof. Our work is strongly motivated by two recent papers by Hong, Junge and Parcet, and by Randrianantoanina, Wu and Zhou, where asymmetric maximal inequalities in noncommutative $L_p$ spaces and in symmetric operator spaces were established, respectively.

En savoir plus : Séminaire d’Analyse Fonctionnelle