Singular maximal functions and Radon transforms near L 1

DOI10.1353/ajm.2004.0020zbMath1063.44003arXivmath/0205156OpenAlexW1992337128MaRDI QIDQ4831785

Andreas Seeger, James Wright, Terence C. Tao

Publication date: 3 January 2005

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0205156

zbMATH Keywords

singular integralsweak type inequalitiessingular Radon transformssingular maximal functions

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Integral transforms in distribution spaces (46F12) Radon transform (44A12)

Related Items (13)

Multi-parameter maximal operators associated with finite measures and arbitrary sets of parameters ⋮ Uniform bounds for oscillatory and polynomial Carleson operators ⋮ Square function estimates for discrete Radon transforms ⋮ On maximal function of discrete rough truncated Hilbert transforms ⋮ Weak type bounds for rough maximal singular integrals near \(L^1\) ⋮ Maximal operators associated with some singular submanifolds ⋮ Sparse Bounds for a Prototypical Singular Radon Transform ⋮ Strong variational and jump inequalities in harmonic analysis ⋮ An off-diagonal Marcinkiewicz interpolation theorem on Lorentz spaces ⋮ The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals ⋮ Endpoint estimates for some maximal operators associated to the circular conical surface ⋮ Sparse bounds for spherical maximal functions ⋮ MAXIMAL OPERATORS AND HILBERT TRANSFORMS ALONG FLAT CURVES NEAR L¹

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