Maximal operators associated to Fourier multipliers with an arbitrary set of parameters

DOI10.1017/S0308210500021715zbMath0922.42011OpenAlexW2134457591MaRDI QIDQ4212392

Javier Duoandikoetxea, Ana M. Vargas

Publication date: 21 September 1999

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500021715

zbMATH Keywords

Fourier multipliersmaximal operatorsconvex bodiesMinkowski dimension

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15) Linear operators on function spaces (general) (47B38)

Related Items (3)

Multi-parameter maximal operators associated with finite measures and arbitrary sets of parameters ⋮ Restricted weak-type endpoint estimates for \(k\)-spherical maximal functions ⋮ Maximal averages over certain non-smooth and non-convex hypersurfaces

Cites Work

• Unnamed Item
• Maximal functions and Fourier transforms
• Variants of the Calderón-Zygmund theory for \(L^ p\)-spaces
• On the \(L^ p\)-bounds for maximal functions associated to convex bodies in \({\mathbb{R}}^ n\)
• Directional operators and radial functions on the plane
• An almost-orthogonality principle with applications to maximal functions associated to convex bodies
• On High Dimensional Maximal Functions Associated to Convex Bodies
• Pointwise convergence of spherical means

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