Weak type estimates for singular integrals related to a dual problem of Muckenhoupt-Wheeden

DOI10.1007/S00041-008-9032-2zbMath1175.42005OpenAlexW2147806742MaRDI QIDQ731261

Andrei K. Lerner, Sheldy Ombrosi, Carlos Pérez

Publication date: 2 October 2009

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-008-9032-2

zbMATH Keywords

weightsHardy-Littlewood maximal operatorCalderón-Zygmund operator

Mathematics Subject Classification ID

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

Related Items (15)

Sawyer-type inequalities for Lorentz spaces ⋮ Sharp \(A_1\) weighted estimates for vector-valued operators ⋮ Exponential decay estimates for singular integral operators ⋮ A ratio inequality for nonnegative martingales and their differential subordinates ⋮ A WEIGHTED MAXIMAL WEAK‐TYPE INEQUALITY ⋮ Proof of an extension of E. Sawyer's conjecture about weighted mixed weak-type estimates ⋮ Weighted mixed weak-type inequalities for multilinear fractional operators ⋮ Weak and strong type \(A_1\)-\(A_\infty \) estimates for sparsely dominated operators ⋮ The dual conjecture of Muckenhoupt and Wheeden ⋮ Weighted inequalities for the dyadic square function ⋮ Reverse Hölder property for strong weights and general measures ⋮ On Muckenhoupt-Wheeden conjecture ⋮ Sharp weak type inequalities for fractional integral operators ⋮ Weighted variation inequalities for singular integrals and commutators ⋮ Weighted weak-type inequalities for some fractional integral operators

Cites Work

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• Two weight extrapolation via the maximal operator
• Mixed weak type estimates: Examples and counterexamples related to a problem of E. Sawyer
• Sharp A1 Bounds for Calderón-Zygmund Operators and the Relationship with a Problem of Muckenhoupt and Wheeden
• A Weighted Weak Type Inequality for the Maximal Function
• Another Characterization of BMO
• Weighted norm inequalities for maximal functions and singular integrals
• Weighted Norm Inequalities for Singular Integral Operators
• Some Maximal Inequalities
• Weighted Norm Inequalities for the Hardy Maximal Function
• Distribution Function Inequalities for Singular Integrals

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