Transference of bilinear multipliers on Lorentz spaces

DOI10.1007/s10231-023-01354-7zbMath1530.42023OpenAlexW4383227717MaRDI QIDQ6186424

Ziyao Liu, Fan, Dashan

Publication date: 9 January 2024

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-023-01354-7

zbMATH Keywords

maximal operatortransferenceLorentz spacesbilinear multipliersrestriction of multiplier

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)

Cites Work

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• Classical Fourier Analysis
• Maximal operators defined by Fourier multipliers
• Operators associated with representations of amenable groups singular integrals induced by ergodic flows, the rotation method and multipliers
• On relations between operators on R^{N}, T^{N} and Z^{N}
• Transference and restriction of maximal multiplier operators on Hardy spaces
• ERGODIC THEORY AND TRANSLATION-INVARIANT OPERATORS

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