Generalized Cesàro operators in the disc algebra and in Hardy spaces

Angela A. Albanese, José Bonet, Werner J. Ricker

Published 2024-10-10Version 1

Generalized Ces\`aro operators $C_t$, for $t\in [0,1)$, are investigated when they act on the disc algebra $A(\mathbb{D})$ and on the Hardy spaces $H^p$, for $1\leq p \leq \infty$. We study the continuity, compactness, spectrum and point spectrum of $C_t$ as well as their linear dynamics and mean ergodicity on these spaces.