Some remarks on the Mikhlin-Hörmander and Marcinkiewicz multiplier theorems: a short historical account and a recent improvement

DOI10.1007/s12220-020-00588-8zbMath1472.42014OpenAlexW3118573980MaRDI QIDQ2050530

Loukas Grafakos

Publication date: 31 August 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-020-00588-8

zbMATH Keywords

interpolationFourier multipliersmultiplier theoremsMarcinkiewicz multiplier theoremMikhlin-Hörmander theorem

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Multipliers in one variable harmonic analysis (42A45)

Related Items

Fourier multipliers for Triebel-Lizorkin spaces on compact Lie groups ⋮ A Sobolev estimate for radial 𝐿^{𝑝}-multipliers on a class of semi-simple Lie groups ⋮ A sharp variant of the Marcinkiewicz theorem with multipliers in Sobolev spaces of Lorentz type ⋮ An improvement of the Marcinkiewicz multiplier theorem

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