Case study of the bi-parameter flag paraproduct

Nom de l'orateur
Yujia Zhai
Etablissement de l'orateur
Cornell University
Date et heure de l'exposé
Lieu de l'exposé
Salle des séminaires

Classical and flag paraproducts arise naturally in the study of nonlinear PDEs. While multi-parameter paraproduct has been studied thoroughly, known estimates for flag paraproducts only involve single parameter. We will state $L^p$ estimates for a particular case of the bi-parameter flag paraproduct on some restricted function spaces. We will discuss the key ingredient of the proof - a stopping-time argument which combines information from subspaces to obtain estimates on the entire space.