Construction of function spaces close to \(L^\infty \) with associate space close to \(L^1\)

DOI10.1007/s00041-017-9574-2zbMath1425.46017arXiv1710.03990OpenAlexW2963323743MaRDI QIDQ1634832

Amiran Gogatishvili, Tengiz Kopaliani, David E. Edmunds

Publication date: 18 December 2018

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.03990

zbMATH Keywords

Banach function spaceHardy-Littlewood maximal functionvariable exponent Lebesgue spacesa.e. divergent Fourier series

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) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (3)

Note on the variable exponent Lebesgue function spaces close to \(L^{\infty}\) ⋮ Divergent Fourier series in function spaces near \(L^1[0;1\)] ⋮ On singular extensions of continuous functionals from C([0,1) to variable Lebesgue spaces]

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