José Bonet

collaborators

4 papers

math.FA2025

Optimal domain of Volterra operators in classes of Banach spaces of analytic functions

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

A thorough investigation is made of the optimal domain space of generalized Volterra operators, Cesàro operators and other operators when they act in various Banach spaces of analy…

math.FA2025

Optimal domain of Volterra operators in Korenblum spaces

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

The aim of this article is to study the largest domain space $[T, X]$ , whenever it exists, of a given continuous linear operator $T : X \to X$ , where $X \subseteq H (D)$ i…

math.FA2024

Generalized Cesàro operators in the disc algebra and in Hardy spaces

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

Generalized Cesàro operators $C_{t}$ , for $t \in [0, 1)$ , are investigated when they act on the disc algebra $A (D)$ and on the Hardy spaces $H^{p}$ , for $1 \leq p \leq \infty$ . W…

math.FA2024

Cesàro operators on the space of analytic functions with logarithmic growth

José Bonet

Continuity, compactness, the spectrum and ergodic properties of Cesàro operators are investigated when they act on the space $V H (D)$ of analytic functions with logarithmic…