On the maximal directional Hilbert transform

DOI10.1007/s10476-019-0821-4zbMath1438.42011arXiv1707.01061OpenAlexW2963014137MaRDI QIDQ2322519

Malabika Pramanik, Alessio Marinelli, Izabella Łaba

Publication date: 4 September 2019

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.01061

zbMATH Keywords

Hilbert transformtree systemmaximal directional Hilbert transform

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15) Integral operators (47G10) Fourier series and coefficients in several variables (42B05)

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\(L^2\) bounds for a maximal directional Hilbert transform ⋮ Maximal functions along convex curves with lacunary directions ⋮ A maximal function for families of Hilbert transforms Along homogeneous curves ⋮ Singular integrals along lacunary directions in \(\mathbb{R}^n\) ⋮ Almost-orthogonality principles for certain directional maximal functions ⋮ Inequalities for noncommutative weakly dominated martingales and applications

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