W. Ricker

activity

20132026

most citedThe Cesaro operator in growth Banach spaces of analytic functions

9 citations · 19 across the 20 of their papers we have counts for

collaborators

22 papers

math.FA2026

The finite Hilbert transform acting on $L^{\infty}$

Guillermo P. Curbera, Susumu Okada, Werner J. Ricker

The action of the finite Hilbert transform defined on $L^{\infty} (- 1, 1)$ and taking its values in the Zygmund space $L_{exp} (- 1, 1)$ is studied in detail. This is a recip…

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

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…

math.FA2024

Mean ergodic and related properties of generalized Cesàro operators in BK-sequence spaces

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

Recent results concerning the linear dynamics and mean ergodicity of compact operators in Banach spaces, together with additional new results, are employed to investigate various s…

math.FA2023

The finite Hilbert transform on $(- 1, 1)$

Guillermo P. Curbera, Susumu Okada, Werner J. Ricker

We present a detailed survey of recent developments in the study of the finite Hilbert transform and its corresponding inversion problem in rearrangement invariant spaces on $(-1,1…

math.FA2023★ 1 cited

Spectral properties of generalized Cesàro operators in sequence spaces

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

The generalized Cesàro operators $C_{t}$ , for $t \in [0, 1]$ , were first investigated in the 1980's. They act continuously in many classical Banach sequence spaces contained in $\mathb…

math.FA2023

Extension and Integral Representation of the finite Hilbert Transform In Rearrangement Invariant Spaces

G. P. Curbera, S. Okada, W. J. Ricker

The finite Hilbert transform $T$ is a classical (singular) kernel operator which is continuous in every rearrangement invariant space $X$ over $(- 1, 1)$ having non-trivial Boyd indi…

math.FA2023

Fine spectra and compactness of generalized Cesàro operators in Banach lattices in $C^{N_{0}}$

Guillermo P. Curbera, Werner J. Ricker

The generalized Cesàro operators $C_{t}$ , for $t \in [0, 1)$ , introduced in the 1980's by Rhaly, are natural analogues of the classical Cesàro averaging operator $\mathcal{C}_…

math.FA2023

Convolution in dual Cesàro sequence spaces

Guillermo P. Curbera, Werner J. Ricker

We investigate convolution operators in the sequence spaces $d_{p}$ , for $1 \leq p < \infty$ . These spaces, for $p > 1$ , arise as dual spaces of the \ces sequence spaces $ce s_{p}$ thoroughly…

math.FA2022

The finite Hilbert transform acting in the Zygmund space LlogL

Guillermo P. Curbera, Susumu Okada, Werner J. Ricker

The finite Hilbert transform T is a singular integral operator which maps the Zygmund space $L l o g L := L l o g L (- 1, 1)$ continuously into $L^{1} := L^{1} (- 1, 1)$ . By extending the Parseval and P…

math.FA2020

Fréchet and (LB) sequence spaces induced by dual Banach spaces of discrete Cesàro spaces

José Bonet, Werner J. Ricker

The Fréchet (resp.\ (LB)) sequence spaces $ces (p +) := \cap_{r > p} ces (r), 1 \leq p < \infty$ (resp.\ $ces (p -) := \cup_{1 < r < p} ces (r), 1 < p \leq \infty),$ are known to be…

math.FA2019

Fine spectra of the finite Hilbert transform in function spaces

Guillermo P. Curbera, Susumu Okada, Werner J. Ricker

We investigate the spectrum and fine spectra of the finite Hilbert transform acting on rearrangement invariant spaces over $(- 1, 1)$ with non-trivial Boyd indices, thereby extending…

math.FA2019

Non-extendability of the finite Hilbert transform

Guillermo P. Curbera, Susumu Okada, Werner J. Ricker

It is proved that the finite Hilbert transform $T : X \to X$ , which acts continuously on every rearrangement invariant space $X$ on $(- 1, 1)$ having non-trivial Boyd indices, is…

math.FA2019

Order spectrum of the Cesàro operator in Banach lattice sequence spaces

José Bonet, Werner J. Ricker

The discrete Cesàro operator $C$ acts continuously in various classical Banach sequence spaces within $C^{N} .$ For the coordinatewise order, many such sequence…

math.FA2019★ 7 cited

Inversion and extension of the finite Hilbert transform on (-1,1)

Guillermo P. Curbera, Susumu Okada, Werner J. Ricker

The principle of optimizing inequalities, or their equivalent operator theoretic formulation, is well established in analysis. For an operator, this corresponds to extending its ac…

math.FA2017★ 1 cited

The Cesàro operator on power series spaces

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

The discrete Cesàro operator $C$ is investigated in the class of power series spaces $Λ_{0} (α)$ of finite type. Of main interest is its spectrum, which is distinctly differe…

math.FA2016★ 9 cited

The Cesaro operator in growth Banach spaces of analytic functions

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

The Cesaro operator $C$ , when acting in the classical growth Banach spaces $A^{- γ}$ and $A_{0}^{- γ}$ , for $γ > 0$ , of analytic functions on $D$ , is investigated. Ba…

math.FA2015

The weak Banach-Saks property for function spaces

Guillermo P. Curbera, Werner J. Ricker

We establish the weak Banach-Saks property for function spaces arising as the optimal domain of an operator.

math.FA2015★ 1 cited

Abstract Cesàro spaces: Integral representations

Guillermo P. Curbera, Werner J. Ricker

The Cesàro function spaces $C e s_{p} = [C, L^{p}]$ , $1 \leq p \leq \infty$ , have received renewed attention in recent years. Many properties of $[C, L^{p}]$ are known. Less is known about $[C, X]$ …

math.FA2013

Mean ergodic properties of the continuous Cesàro operators

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

Various properties of the (continuous) Cesàro operator $C$ , acting on Banach and Fréchet spaces of continuous functions and $L^{p}$ -spaces, are investigated. For instance, t…

The finite Hilbert transform acting on L∞

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

Optimal domain of Volterra operators in Korenblum spaces

Generalized Cesàro operators in the disc algebra and in Hardy spaces

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

Mean ergodic and related properties of generalized Cesàro operators in BK-sequence spaces

The finite Hilbert transform on (−1,1)

Spectral properties of generalized Cesàro operators in sequence spaces

Extension and Integral Representation of the finite Hilbert Transform In Rearrangement Invariant Spaces

Fine spectra and compactness of generalized Cesàro operators in Banach lattices in CN0​

Convolution in dual Cesàro sequence spaces

The finite Hilbert transform acting in the Zygmund space LlogL

Fréchet and (LB) sequence spaces induced by dual Banach spaces of discrete Cesàro spaces

Fine spectra of the finite Hilbert transform in function spaces

Non-extendability of the finite Hilbert transform

Order spectrum of the Cesàro operator in Banach lattice sequence spaces

Inversion and extension of the finite Hilbert transform on (-1,1)

The Cesàro operator on power series spaces

The Cesaro operator in growth Banach spaces of analytic functions

The weak Banach-Saks property for function spaces

Abstract Cesàro spaces: Integral representations

Mean ergodic properties of the continuous Cesàro operators

The finite Hilbert transform acting on $L^{\infty}$

The finite Hilbert transform on $(- 1, 1)$

Fine spectra and compactness of generalized Cesàro operators in Banach lattices in $C^{N_{0}}$