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20152026
most citedInversion and extension of the finite Hilbert transform on (-1,1)

7 citations · 13 across the 13 of their papers we have counts for

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Showing 2023Show all

6 papers · 1 filter

math.FA2023

A note on extreme points of the unit of Hardy-Lorentz spaces

Javier Carrillo-Alanís, Guillermo P. Curbera

We show that inner functions are extreme points of the unit ball of the Hardy-Lorentz space , for a Lorentz space with strictly increasing and strictly concave.

math.FA2023

The finite Hilbert transform on

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

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 is a classical (singular) kernel operator which is continuous in every rearrangement invariant space over having non-trivial Boyd indi…

math.FA2023

The Cesàro space of Dirichlet series and its multiplier algebra

Jorge Bueno-Contreras, Guillermo P. Curbera, Olvido Delgado

We consider the space of all Dirichlet series whose coefficients belong to the Cesàro sequence space , consisting of all complex sequences whose absolut…

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…