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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…
Spectral properties of generalized Cesàro operators in sequence spaces
Angela A. Albanese, José Bonet, Werner J. Ricker
The generalized Cesàro operators , for , were first investigated in the 1980's. They act continuously in many classical Banach sequence spaces contained in $\mathb…
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…
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}_…
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…