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Pré-Publication, Document De Travail Année : 2023

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.
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Dates et versions

hal-04007221 , version 1 (20-03-2023)

Identifiants

  • HAL Id : hal-04007221 , version 1

Citer

Loris Arnold, Christophe Cuny. On the growth rate of powers of a strongly Kreiss bounded operator on some $L^p$ space: Strongly Kreiss bounded operators on $L^p$ spaces. 2023. ⟨hal-04007221⟩
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