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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
On vector measures with values in
S. Okada, J. Rodríguez, E. A. Sánchez-Pérez
We study some aspects of countably additive vector measures with values in and the Banach lattices of real-valued functions that are integrable with respect to such a…