Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers

DOI10.1007/s43037-020-00111-9zbMath1477.47035OpenAlexW3123065570WikidataQ114216117 ScholiaQ114216117MaRDI QIDQ2227639

Alexei Yu. Karlovich, Yuri I. Karlovich, Claudio A. Fernandes

Publication date: 15 February 2021

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43037-020-00111-9

zbMATH Keywords

Banach algebra\(C^*\)-algebraFourier multiplierslowly oscillating functionFourier convolution operatorequivalence at infinity

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) Integral operators (47G10) Multipliers in one variable harmonic analysis (42A45)

Cites Work

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• When does the norm of a Fourier multiplier dominate its L∞ norm?
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