G. Curbera

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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.FA2024

Measure theoretic aspects of the finite Hilbert transform

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

The finite Hilbert transform $T$ , when acting in the classical Zygmund space $\logl$ (over $(- 1, 1)$ ), was intensively studied in \cite{curbera-okada-ricker-log}. In this note an in…

The finite Hilbert transform acting on L∞

Measure theoretic aspects of the finite Hilbert transform

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