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Bibliographic Details
Main Authors: Arnold, Loris, Cuny, Christophe
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2302.14135
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Table of Contents:
  • Let $T$ be a strongly Kreiss bounded linear operator on $L^p$. We obtain a bound on the rate of growth of the norms of the powers of $T$. The bound is optimal with respect to the polynomial scale. The proof makes use of Fourier multipliers, in particular of the Littlewood-Paley inequalities on arbitrary intervals as initiated by Rubio de Francia and developed by Kislyakov and Parilov.