$L^2$ bounds for a maximal directional Hilbert transform

DOI10.2140/apde.2022.15.753zbMath1497.42033arXiv1909.05454OpenAlexW2973226380MaRDI QIDQ2152580

Publication date: 8 July 2022

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.05454

zbMATH Keywords

maximal function polynomial partitioning almost-orthogonality directional Hilbert transform

Mathematics Subject Classification ID

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

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\(L^2\) bounds for a maximal directional Hilbert transform