Algebra of convolution type operators with continuous data on Banach function spaces

DOI10.4064/bc119-8zbMath1477.47094arXiv1908.07754OpenAlexW2995993062WikidataQ126542877 ScholiaQ126542877MaRDI QIDQ5208966

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

Publication date: 22 January 2020

Published in: Banach Center Publications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.07754

zbMATH Keywords

Schauder basisBanach function spaceHardy-Littlewood maximal operatorideal of compact operatorsunconditional wavelet basisFourier convolution operators

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Integral operators (47G10) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (4)

Algebras of convolution type operators with continuous data do not always contain all rank one operators ⋮ Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers ⋮ Calkin images of Fourier convolution operators with slowly oscillating symbols ⋮ Wavelet bases in Banach function spaces

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