Fiber-wise Calderón-Zygmund decomposition and application to a bi-dimensional paraproduct

zbMath1290.42032arXiv1011.3614MaRDI QIDQ384313

Frédéric Bernicot

Publication date: 27 November 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.3614

zbMATH Keywords

bilinear Hilbert transformbilinear paraproductsfiber-wise Calderón-Zygmund decomposition

Mathematics Subject Classification ID

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

Related Items (12)

Trilinear smoothing inequalities and a variant of the triangular Hilbert transform ⋮ Boundedness of some multi-parameter fiber-wise multiplier operators ⋮ Boundedness of paraproducts on spaces of homogeneous type I ⋮ 𝐿^{𝑝} estimates for a singular entangled quadrilinear form ⋮ The bilinear Bochner-Riesz problem ⋮ Hilbert transform along measurable vector fields constant on Lipschitz curves: $L^p$ boundedness ⋮ Real analysis, harmonic analysis and applications. Abstracts from the workshop held July 3--9, 2022 ⋮ Sobolev norm estimates for a class of bilinear multipliers ⋮ Averages of simplex Hilbert transforms ⋮ Boundedness of the twisted paraproduct ⋮ One modification of the martingale transform and its applications to paraproducts and stochastic integrals ⋮ Singular Brascamp–Lieb: A Survey

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• On the existence of certain singular integrals
• On the two-dimensional bilinear Hilbert transform
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• On Commutators of Singular Integrals and Bilinear Singular Integrals
• Estimates for double Hilbert transform
• Some remarks on multilinear maps and interpolation

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