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arXiv · 2410.08056

Generalized Ces\`aro operators in the disc algebra and in Hardy spaces

Angela A. Albanese·José Bonet·Werner J. Ricker
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Abstract

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.

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Angela A. Albanese, José Bonet, Werner J. Ricker. 2024-10-10. Generalized Ces\`aro operators in the disc algebra and in Hardy spaces. https://arxiv.org/abs/2410.08056

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