Sparse bounds for maximal monomial oscillatory Hilbert transforms

DOI10.4064/sm8699-7-2017zbMath1402.42019arXiv1609.01564OpenAlexW2963807435MaRDI QIDQ4638372

Michael T. Lacey, Ben Krause

Publication date: 8 May 2018

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

Full work available at URL: https://arxiv.org/abs/1609.01564

zbMATH Keywords

Hilbert transformmaximal truncationsparse bound

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Related Items

A metric approach to sparse domination ⋮ Dyadic Harmonic Analysis and Weighted Inequalities: The Sparse Revolution ⋮ Sparse bounds for spherical maximal functions ⋮ On convergence of oscillatory ergodic Hilbert transforms ⋮ Sparse bounds for discrete singular Radon transforms

Cites Work

• A pointwise estimate for positive dyadic shifts and some applications
• Sparse bounds for oscillatory and random singular integrals
• An elementary proof of the \(A_{2}\) bound
• Sharp weighted norm estimates beyond Calderón-Zygmund theory
• The (weak-\(L^{2}\)) boundedness of the quadratic Carleson operator
• Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
• Weak type (1,1) bounds for rough operators
• Weak (1,1) bounds for oscillatory singular integrals
• Oscillatory integrals related to Carleson's theorem
• The polynomial Carleson operator
• A sparse domination principle for rough singular integrals
• A pointwise estimate for the local sharp maximal function with applications to singular integrals
• Maximal multilinear operators
• On Almost Everywhere Convergence of Bochner-Riesz Means in Higher Dimensions
• Oscillatory singular integrals and harmonic analysis on nilpotent groups
• Weighted weak type (1,1) estimates for oscillatory singular integrals
• Sparse bilinear forms for Bochner Riesz multipliers and applications
• Domination of multilinear singular integrals by positive sparse forms
• A Simple Proof of the A2 Conjecture
• Uniform weighted estimates for oscillatory singular integrals