Mixed-norm estimates for paraproducts
Résumé
We present a new approach to the study of singular multi-parameter multilinear Fourier multipliers via multiple vector-valued inequalities. This summarizes some of our results based on the helicoidal method. The main example is the bi-parameter paraproduct $\Pi \otimes \Pi$, for which we prove estimates within the whole range of admissible Lebesgue estimates.
Domaines
Analyse classique [math.CA]
Origine : Fichiers produits par l'(les) auteur(s)