Noncompactness of Fourier convolution operators on Banach function spaces

DOI10.1215/20088752-2019-0013zbMath1477.47034arXiv1909.13510OpenAlexW2982689518WikidataQ126862211 ScholiaQ126862211MaRDI QIDQ2332604

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

Publication date: 4 November 2019

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

Full work available at URL: https://arxiv.org/abs/1909.13510

zbMATH Keywords

compactnessBanach function spaceHardy-Littlewood maximal operatorFourier convolution operatorLebesgue space with Muckenhoupt weight

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) Convolution, factorization for one variable harmonic analysis (42A85)

Related Items (7)

Algebras of convolution type operators with continuous data do not always contain all rank one operators ⋮ Completely compact Herz-Schur multipliers of dynamical systems ⋮ Semi-almost periodic Fourier multipliers on rearrangement-invariant spaces with suitable Muckenhoupt weights ⋮ Unnamed Item ⋮ 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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• Weighted Norm Inequalities for the Hardy Maximal Function
• When does the norm of a Fourier multiplier dominate its L∞ norm?

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