Maximal functions with polynomial densities in lacunary directions

DOI10.1090/S0002-9947-02-03129-XzbMath1017.42010OpenAlexW1848120893MaRDI QIDQ4787455

Kathryn E. Hare, Fulvio Ricci

Publication date: 7 January 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-02-03129-x

zbMATH Keywords

Fourier transform\(L^p\)-boundednessmaximal operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items (4)

\(L^p\) bounds of maximal operators along variable planar curves in the Lipschitz regularity ⋮ Maximal functions along convex curves with lacunary directions ⋮ Maximal functions associated to a family of flat curves in lacunary directions ⋮ Directional maximal operators with smooth densities

Cites Work

• Maximal and singular integral operators via Fourier transform estimates
• Differentiation in lacunary directions and an extension of the Marcinkiewicz multiplier theorem
• Multiparameter singular integrals and maximal functions
• Maximal functions and Hilbert transforms associated to polynomials
• Maximal functions and singular integrals associated to polynomial mappings of \(\mathbb R^ n\).
• Differentiation in lacunary directions

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