On some sharp weighted norm inequalities

DOI10.1016/j.jfa.2005.08.006zbMath1140.42005OpenAlexW2018047529MaRDI QIDQ820067

Andrei K. Lerner

Publication date: 6 April 2006

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2005.08.006

zbMATH Keywords

local sharp maximal functionCalderón-Zygmund and Littlewood-Paley operatorsSharp weighted estimates

Mathematics Subject Classification ID

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

Related Items (18)

Haar multipliers meet Bellman functions ⋮ Exponential decay estimates for singular integral operators ⋮ Sharp weighted norm inequalities for Littlewood-Paley operators and singular integrals ⋮ Sharp bound of the maximal Bochner-Riesz operator in weighted Lebesgue spaces ⋮ A sparse quadratic \(T(1)\) theorem ⋮ Sharp weighted estimates for classical operators ⋮ Weighted \(L^p\) estimates for the area integral associated to self-adjoint operators ⋮ Bi-parameter Littlewood-Paley operators with upper doubling measures ⋮ Calderón‐Zygmund operators with non‐diagonal singularity ⋮ Commutators in the two-weight setting ⋮ Quantitative boundedness of Littlewood-Paley functions on weighted Lebesgue spaces in the Schrödinger setting ⋮ On some weighted norm inequalities for Littlewood-Paley operators ⋮ Weighted inequalities for \(q\)-functions ⋮ Multilinear Littlewood-Paley-Stein operators on non-homogeneous spaces ⋮ A note on a two-weight estimate for the dyadic square function ⋮ Bilinear forms on non-homogeneous Sobolev spaces ⋮ Quadratic sparse domination and weighted estimates for non-integral square functions ⋮ Extensions of the John–Nirenberg theorem and applications

Cites Work

• Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces
• On the John-Strömberg characterization of BMO for nondoubling measures.
• Local sharp maximal functions
• Weighted inequalities for the dyadic square function without dyadic \(A_{\infty}\)
• A sharp estimate for the weighted Hilbert transform via Bellman functions.
• Sharp estimate of the Ahlfors-Beurling operator via averaging martingale transforms
• A sharp estimate on the norm of the martingale transform
• Calderon-Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderon
• Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular
• Weighted norm inequalities for the local sharp maximal function
• \(H^p\) spaces of several variables
• An estimate for weighted Hilbert transform via square functions
• Weighted Norm Inequalities for the Continuous Square Function
• Multiparameter operators and sharp weighted inequalities
• Weighted norm inequalities for maximal functions and singular integrals
• Estimates for Operator Norms on Weighted Spaces and Reverse Jensen Inequalities
• A sharp estimate on the norm of the continuous square function
• Weighted rearrangement inequalities for local sharp maximal functions
• Norm Inequalities for the Littlewood-Paley Function g ∗ λ
• Weighted Norm Inequalities for the Hardy Maximal Function
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