Measure theoretic aspects of the finite Hilbert transform

DOI10.1002/mana.202200537MaRDI QIDQ6648880

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

Publication date: 5 December 2024

Published in: Mathematische Nachrichten (Search for Journal in Brave)

zbMATH Keywords

integral representationvector measurefinite Hilbert transformZygmund space \(L\log L\)

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Vector-valued measures and integration (46G10)

Cites Work

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• On the \(L^p\) norms of the Hilbert transform of a characteristic function
• Operators into \(L^ 1\) of a vector measure and applications to Banach lattices
• Optimal domain and integral extension of operators, acting in function spaces
• A note on order bounded vector measures
• Non-extendability of the finite Hilbert transform
• Fine spectra of the finite Hilbert transform in function spaces
• Inversion and extension of the finite Hilbert transform on \((-1,1)\)
• On integrability and summability in vector spaces
• Compactness of the integration operator associated with a vector measure
• Extension and integral representation of the finite Hilbert transform in rearrangement invariant spaces
• The finite Hilbert transform acting in the Zygmund space \(L\log L\)

Related Items (1)

The finite Hilbert transform acting in rearrangement invariant spaces on \((-1,1)\)

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