Maximal averages along a planar vector field depending on one variable

DOI10.1090/S0002-9947-2013-05673-5zbMath1278.42024arXiv1104.2859OpenAlexW2014877032MaRDI QIDQ2847029

Michael Bateman

Publication date: 4 September 2013

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

Full work available at URL: https://arxiv.org/abs/1104.2859

zbMATH Keywords

maximal average

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (4)

A sharp estimate for the Hilbert transform along finite order lacunary sets of directions ⋮ Single annulus \(L^p\) estimates for Hilbert transforms along vector fields ⋮ Directional square functions ⋮ Maximal subspace averages

Cites Work

• Maximal operators over arbitrary sets of directions
• On a conjecture of E. M. Stein on the Hilbert transform on vector fields
• $L^p$ estimates for maximal averages along one-variable vector fields in ${\mathbf R} ^2$
• Remarks on Maximal Operators Over Arbitrary Sets of Directions
• Maximal theorems for the directional Hilbert transform on the plane
• Pointwise convergence of Fourier series
• Unnamed Item

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