New uniform bounds for a Walsh model of the bilinear Hilbert transform

DOI10.1512/iumj.2011.60.4445zbMath1255.42018arXiv1004.4019OpenAlexW2963895463MaRDI QIDQ4899230

Richard Oberlin, Christoph Thiele

Publication date: 7 January 2013

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.4019

zbMATH Keywords

uniform estimatesbilinear Hilbert transform

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items (9)

DYADIC TRIANGULAR HILBERT TRANSFORM OF TWO GENERAL FUNCTIONS AND ONE NOT TOO GENERAL FUNCTION ⋮ A modulation invariant Carleson embedding theorem outside local \(L^2\) ⋮ Bilinear Fourier restriction theorems ⋮ Weak-\(L^p\) bounds for the Carleson and Walsh-Carleson operators ⋮ Endpoint bounds for the quartile operator ⋮ Lacunary Fourier and Walsh-Fourier series near \(L^1\) ⋮ Endpoint bounds for the bilinear Hilbert transform ⋮ Local bounds for singular Brascamp-Lieb forms with cubical structure ⋮ Singular Brascamp–Lieb: A Survey

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