S. Okada

activity

20192026

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

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

collaborators

9 papers

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…

math.FA2023

The finite Hilbert transform on $(- 1, 1)$

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 $T$ is a classical (singular) kernel operator which is continuous in every rearrangement invariant space $X$ over $(- 1, 1)$ having non-trivial Boyd indi…

math.FA2023

On vector measures with values in $ℓ_{\infty}$

S. Okada, J. Rodríguez, E. A. Sánchez-Pérez

We study some aspects of countably additive vector measures with values in $ℓ_{\infty}$ and the Banach lattices of real-valued functions that are integrable with respect to such a…

math.FA2022

The finite Hilbert transform acting in the Zygmund space LlogL

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

The finite Hilbert transform T is a singular integral operator which maps the Zygmund space $L l o g L := L l o g L (- 1, 1)$ continuously into $L^{1} := L^{1} (- 1, 1)$ . By extending the Parseval and P…

math.FA2019

Fine spectra of the finite Hilbert transform in function spaces

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

We investigate the spectrum and fine spectra of the finite Hilbert transform acting on rearrangement invariant spaces over $(- 1, 1)$ with non-trivial Boyd indices, thereby extending…

math.FA2019

Non-extendability of the finite Hilbert transform

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

It is proved that the finite Hilbert transform $T : X \to X$ , which acts continuously on every rearrangement invariant space $X$ on $(- 1, 1)$ having non-trivial Boyd indices, is…

math.FA2019★ 7 cited

Inversion and extension of the finite Hilbert transform on (-1,1)

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

The principle of optimizing inequalities, or their equivalent operator theoretic formulation, is well established in analysis. For an operator, this corresponds to extending its ac…

The finite Hilbert transform acting on L∞

Measure theoretic aspects of the finite Hilbert transform

The finite Hilbert transform on (−1,1)

Extension and Integral Representation of the finite Hilbert Transform In Rearrangement Invariant Spaces

On vector measures with values in ℓ∞​

The finite Hilbert transform acting in the Zygmund space LlogL

Fine spectra of the finite Hilbert transform in function spaces

Non-extendability of the finite Hilbert transform

Inversion and extension of the finite Hilbert transform on (-1,1)

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

The finite Hilbert transform on $(- 1, 1)$

On vector measures with values in $ℓ_{\infty}$