The Marcinkiewicz multiplier theorem revisited

DOI10.1007/s00013-018-1269-7zbMath1406.42014arXiv1706.07201OpenAlexW2964321040MaRDI QIDQ1721765

Lenka Slavíková, Loukas Grafakos

Publication date: 12 February 2019

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.07201

zbMATH Keywords

interpolationSobolev spacesmultiplier theorems

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)

Related Items (4)

\(L^p\)-bounds for pseudo-differential operators on graded Lie groups ⋮ Some remarks on the Mikhlin-Hörmander and Marcinkiewicz multiplier theorems: a short historical account and a recent improvement ⋮ A sharp variant of the Marcinkiewicz theorem with multipliers in Sobolev spaces of Lorentz type ⋮ An improvement of the Marcinkiewicz multiplier theorem

Cites Work

• Differentiation in lacunary directions and an extension of the Marcinkiewicz multiplier theorem
• Parabolic maximal functions associated with a distribution. II
• The Hörmander multiplier theorem. I: The linear case revisited
• Homogeneous Fourier multipliers of Marcinkiewicz type
• The Kato-Ponce Inequality
• H p - and L p -Variants of Multiparameter Calderon-Zygmund Theory
• Classical Fourier Analysis
• Some Maximal Inequalities
• Estimates for translation-invariant operators on spaces with mixed norms
• A Sharp Version of the Hörmander Multiplier Theorem

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