On the sharp upper bound related to the weak Muckenhoupt-Wheeden conjecture

DOI10.2140/apde.2020.13.1939zbMath1451.42029arXiv1710.07700OpenAlexW2766087151MaRDI QIDQ2210892

Sheldy Ombrosi, Andrei K. Lerner, F. L. Nazarov

Publication date: 9 November 2020

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.07700

zbMATH Keywords

maximal operatorHilbert transformweighted inequalities

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (8)

Sharp \(A_1\) weighted estimates for vector-valued operators ⋮ Endpoint entropy Fefferman-Stein bounds for commutators ⋮ Weak type bounds for rough maximal singular integrals near \(L^1\) ⋮ The dual conjecture of Muckenhoupt and Wheeden ⋮ Boundedness of sparse and rough operators on weighted Lorentz spaces ⋮ Explicit counterexamples to the weak Muckenhoupt-Wheeden conjecture ⋮ Quantitative matrix weighted estimates for certain singular integral operators ⋮ Weighted norm inequalities for rough singular integral operators

Cites Work

• On Muckenhoupt-Wheeden conjecture
• \(A_1\) bounds for Calderón-Zygmund operators related to a problem of Muckenhoupt and Wheeden
• On weak weighted estimates of the martingale transform and a dyadic shift
• The Hilbert transform does not map \(L^1(M\omega)\) to \(L^{1,\infty}(\omega)\)
• Muckenhoupt–Wheeden conjectures in higher dimensions
• On a counterexample related to weighted weak type estimates for singular integrals
• Sharp one-weight and two-weight bounds for maximal operators
• Sharp A1 Bounds for Calderón-Zygmund Operators and the Relationship with a Problem of Muckenhoupt and Wheeden
• A characterization of a two-weight norm inequality for maximal operators
• Some Maximal Inequalities

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