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20162024
most citedThe Cesàro operator in weighted spaces

14 citations · 23 across the 6 of their papers we have counts for

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math.FA2024

Measure theoretic aspects of the finite Hilbert transform

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

The finite Hilbert transform , when acting in the classical Zygmund space $\logl$ (over ), was intensively studied in \cite{curbera-okada-ricker-log}. In this note an in…

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 , for , when they act on the space of holomorphic functions on the open unit disc $\ma…

math.FA2023

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

Guillermo P. Curbera, Werner J. Ricker

The generalized Cesàro operators , for , 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 , for . These spaces, for , arise as dual spaces of the \ces sequence spaces thoroughly…

math.FA201714 cited

The Cesàro operator in weighted spaces

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

Unlike for , , the discrete Cesàro operator does not map into itself. We identify precisely those weights such that does map

math.FA20169 cited

The Cesaro operator in growth Banach spaces of analytic functions

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

The Cesaro operator , when acting in the classical growth Banach spaces and , for , of analytic functions on , is investigated. Ba…