José Bonet

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7 papers · 1 filter

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…

math.FA2024

Generalized Hilbert operators acting on weighted spaces of holomorphic functions with sup-norms

María J. Beltrán-Meneu, José Bonet, Enrique Jordá

The behaviour of the generalized Hilbert operator associated with a positive finite Borel measure $μ$ on $[0, 1)$ is investigated when it acts on weighted Banach spaces of holomorph…

math.FA2024

Generalized Cesàro operators in weighted Banach spaces of analytic functions with sup-norms

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

An investigation is made of the generalized Cesàro operators $C_{t}$ , for $t \in [0, 1]$ , when they act on the space $H (D)$ of holomorphic functions on the open unit disc $\ma…