On the growth rate of powers of a strongly Kreiss bounded operator on some $L^p$ space
Résumé
Let $T$ be a strongly Kreiss bounded linear operator on $L^p$. We obtain a somewhat optimal control on the rate of growth of the norms ofthe powers. The proof makes use of Fourier multipliers, in particular of Littlewwod-Paley inequalities on arbitrary intervals as initiated by Rubio de Francia and developped by Kislyakov and Parilov.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)