Commutators of convolution type operators on some Banach function spaces

DOI10.15352/AFA/06-4-191zbMath1335.47021OpenAlexW1561800326MaRDI QIDQ2516297

Alexei Yu. Karlovich

Publication date: 12 August 2015

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.afa/1435764011

zbMATH Keywords

Banach function spacerearrangement-invariant spacecommutatorvariable Lebesgue spaceFourier convolution operatorpiecewise quasi continuous functionpiecewise slowly oscillating multiplier

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) Commutators, derivations, elementary operators, etc. (47B47) Multipliers in one variable harmonic analysis (42A45)

Related Items (6)

Algebras of convolution type operators with continuous data do not always contain all rank one operators ⋮ Algebras of continuous Fourier multipliers on variable Lebesgue spaces ⋮ Semi-almost periodic Fourier multipliers on rearrangement-invariant spaces with suitable Muckenhoupt weights ⋮ Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers ⋮ Calkin images of Fourier convolution operators with slowly oscillating symbols ⋮ Algebra of convolution type operators with continuous data on Banach function spaces

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