Boundedness of the Hilbert transform in Lorentz spaces and applications to operator ideals

DOI10.2989/16073606.2022.2043481OpenAlexW4221118679MaRDI QIDQ6104985

Kanat S. Tulenov

Publication date: 26 June 2023

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2022.2043481

zbMATH Keywords

Hilbert transformLorentz spacetriangular truncation operatoroptimal rangeCalderón operatorSchatten-Lorentz ideal

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Noncommutative measure and integration (46L51) Noncommutative function spaces (46L52) Operator ideals (47L20) Linear operators in (C^*)- or von Neumann algebras (47C15)

Cites Work

• Singular traces. Theory and applications
• Banach lattices
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• Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture
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• The Hilbert Transform on Rearrangement-Invariant Spaces
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