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

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

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

Functional Analysis 2024-10-11 v1

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

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.

Keywords

Cesaro operators disc algebra Hardy spaces spectrum linear dynamics

Cite

@article{arxiv.2410.08056,
  title  = {Generalized Ces\`aro operators in the disc algebra and in Hardy spaces},
  author = {Angela A. Albanese and José Bonet and Werner J. Ricker},
  journal= {arXiv preprint arXiv:2410.08056},
  year   = {2024}
}

Comments

Article accepted for publication in Advances in Operator Theory. arXiv admin note: text overlap with arXiv:2402.04003

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