Generalized Cesàro 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.
Generalized Cesàro operators in the disc algebra and in Hardy spaces
Angela A. Albanese;
2025-01-01
Abstract
Generalized Cesàro 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.File in questo prodotto:
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