An extension of the Córdoba-Fefferman theorem on the equivalence between the boundedness of certain classes of maximal and multiplier operators

DOI10.1016/j.crma.2008.09.010zbMath1178.42019OpenAlexW2020415452MaRDI QIDQ952120

Alexander Stokolos, Paul Alton Hagelstein

Publication date: 6 November 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2008.09.010

zbMATH Keywords

harmonic analysismultiplier operatorgeometric maximal operator

Mathematics Subject Classification ID

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

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Cites Work

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• Kakeya sets in Cantor directions
• Kakeya sets and directional maximal operators in the plane
• Tauberian conditions for geometric maximal operators
• On the equivalence between the boundedness of certain classes of maximal and multiplier operators in Fourier analysis