The Hörmander multiplier theorem. I: The linear case revisited

zbMath1395.42025arXiv1607.02620MaRDI QIDQ1746514

Loukas Grafakos, Danqing He, Peter Honzík, Hanh Van Nguyen

Publication date: 25 April 2018

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.02620

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Multipliers for harmonic analysis in several variables (42B15) (H^p)-spaces (42B30)

Related Items (11)

Fourier multipliers on a vector-valued function space ⋮ Fourier multipliers in \(\mathrm{SL}_n(\mathbb{R})\) ⋮ The Marcinkiewicz multiplier theorem revisited ⋮ The Hörmander multiplier theorem for \(n\)-linear operators ⋮ On the failure of the Hörmander multiplier theorem in a limiting case ⋮ Some remarks on the Mikhlin-Hörmander and Marcinkiewicz multiplier theorems: a short historical account and a recent improvement ⋮ The Hörmander multiplier theorem. III: The complete bilinear case via interpolation ⋮ A Sharp Version of the Hörmander Multiplier Theorem ⋮ Characterization of multilinear multipliers in terms of Sobolev space regularity ⋮ The lattice bump multiplier problem ⋮ The multilinear Hörmander multiplier theorem with a Lorentz-Sobolev condition

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