Fourier multipliers in Banach function spaces with UMD concavifications

DOI10.1090/tran/7520zbMath1425.42014arXiv1705.07792OpenAlexW3099751809MaRDI QIDQ4633573

Emiel Lorist, Alex Amenta, Mark C. Veraar

Publication date: 3 May 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.07792

zbMATH Keywords

Fourier multipliersMuckenhoupt weightscomplex interpolationLittlewood-Paley-Rubio de Francia inequalitiesUMD Banach function spacesbounded \(s\)-variation

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) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items

Limited range multilinear extrapolation with applications to the bilinear Hilbert transform, Operator-valued Fourier-Haar multipliers on vector-valued \({L^1}\) spaces. II: A characterisation of finite dimensionality, Vector-valued extensions of operators through multilinear limited range extrapolation, Weighted estimates for operator-valued Fourier multipliers

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