On the failure of the Hörmander multiplier theorem in a limiting case

DOI10.4171/rmi/1157zbMath1459.42016arXiv1805.09907OpenAlexW2995138877MaRDI QIDQ1998652

Lenka Slavíková

Publication date: 7 March 2021

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.09907

zbMATH Keywords

Sobolev spaceHörmander multiplier theorem

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15)

Related Items (7)

Fourier multipliers on a vector-valued function space ⋮ Embeddings for spaces of Lorentz-Sobolev type ⋮ Optimal Gagliardo-Nirenberg interpolation inequality for rearrangement invariant spaces ⋮ The Hörmander multiplier theorem for \(n\)-linear operators ⋮ Some remarks on the Mikhlin-Hörmander and Marcinkiewicz multiplier theorems: a short historical account and a recent improvement ⋮ An improvement of the Marcinkiewicz multiplier theorem ⋮ The Hörmander multiplier theorem. III: The complete bilinear case via interpolation

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