Mixed \(A_p\)-\(A_r\) inequalities for classical singular integrals and Littlewood-Paley operators

DOI10.1007/s12220-011-9290-0zbMath1278.42017arXiv1105.5735OpenAlexW2060353208MaRDI QIDQ363216

Andrei K. Lerner

Publication date: 2 September 2013

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.5735

zbMATH Keywords

Muckenhoupt weight\(A_2\) conjectureCalderon-Zygmund operatorLittlewood-Paley square functionsharp weighted inequality

Mathematics Subject Classification ID

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

Related Items (11)

A fractional Muckenhoupt-Wheeden theorem and its consequences ⋮ On \(A_p\)-\(A_\infty \) type estimates for square functions ⋮ Sharp weighted estimates involving one supremum ⋮ Sharp weighted bounds without testing or extrapolation ⋮ On an estimate of Calderón-Zygmund operators by dyadic positive operators ⋮ On Two Weight Estimates for Dyadic Operators ⋮ Sharp off-diagonal weighted weak type estimates for sparse operators ⋮ Dyadic Harmonic Analysis and Weighted Inequalities: The Sparse Revolution ⋮ On the truncated operator trigonometric moment problem ⋮ One and two weight norm inequalities for Riesz potentials ⋮ On entropy bumps for Calderón-Zygmund operators

Cites Work

• Weak and strong type estimates for maximal truncations of Calderón-Zygmund operators on \(A_p\) weighted spaces
• Sharp weighted bounds involving \(A_\infty\)
• The sharp weighted bound for general Calderón-Zygmund operators
• Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces
• Sharp weighted norm inequalities for Littlewood-Paley operators and singular integrals
• Sharp weighted estimates for classical operators
• The intrinsic square function
• Sharp estimate of the Ahlfors-Beurling operator via averaging martingale transforms
• Why the Riesz transforms are averages of the dyadic shifts?
• Sharp weighted estimates for dyadic shifts and the \(A_2\) conjecture
• The Ap-Ainfty inequality for general Calderon-Zygmund operators
• Recovering singular integrals from Haar shifts
• A pointwise estimate for the local sharp maximal function with applications to singular integrals
• Estimates for Operator Norms on Weighted Spaces and Reverse Jensen Inequalities
• Dyadic shifts and a logarithmic estimate for Hankel operators with matrix symbol

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