Inversion theorem for bilinear Hilbert transform

DOI10.1080/10652460701855948zbMath1213.42033arXivmath/0702795OpenAlexW2001501297MaRDI QIDQ3518287

Stevan Pilipović, Aneta L. Buchkovska, Mirjana Vuković

Publication date: 7 August 2008

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702795

zbMATH Keywords

distributionsbilinear Hilbert transformLebesgue points

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Cites Work

• \(L^p\) estimates on the bilinear Hilbert transform for \(2<p<\infty\)
• On Calderón's conjecture
• The bi-Carleson operator
• Multi-linear operators given by singular multipliers
• On Calderón’s conjecture for the bilinear Hilbert transform
• An extension on Trilinear Hilbert transform
• An Extension of Bilinear Hilbert Transform to Distributions
• Bilinear Hilbert Transform of Ultradistributions

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