A maximal function for families of Hilbert transforms Along homogeneous curves

DOI10.1007/s00208-019-01915-3zbMath1440.42080arXiv1902.00096OpenAlexW3104736266WikidataQ127011036 ScholiaQ127011036MaRDI QIDQ2182375

Joris Roos, Po-Lam Yung, Shaoming Guo, Andreas Seeger

Publication date: 23 May 2020

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.00096

zbMATH Keywords

Hilbert transformmaximal operatorsdirectional Hilbert transform

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral operators (47G10)

Related Items (8)

\(L^2\) bounds for a maximal directional Hilbert transform ⋮ Maximal functions along convex curves with lacunary directions ⋮ Lp$L^p$ bound for the Hilbert transform along variable non‐flat curves ⋮ A unified approach to three themes in harmonic analysis. I \& II: I. The linear Hilbert transform and maximal operator along variable curves. II Carleson type operators in the presence of curvature ⋮ Maximal functions associated to a family of flat curves in lacunary directions ⋮ Estimates for Hilbert transforms along variable general curves ⋮ Maximal functions associated with families of homogeneous curves: L^p bounds for P ≤ 2 ⋮ Almost-orthogonality principles for certain directional maximal functions

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