On the Maximal Directional Hilbert Transform in Three Dimensions

DOI10.1093/imrn/rny138zbMath1479.42088arXiv1712.02673OpenAlexW2963261802MaRDI QIDQ5015571

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Publication date: 9 December 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.02673

zbMATH Keywords

maximal directional Hilbert transformsharp growth rate

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Other transformations of harmonic type (42C20)

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\(L^2\) bounds for a maximal directional Hilbert transform ⋮ Paraproducts for bilinear multipliers associated with convex sets ⋮ Singular integrals along lacunary directions in \(\mathbb{R}^n\) ⋮ Inequalities for noncommutative weakly dominated martingales and applications ⋮ Maximal directional operators along algebraic varieties

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