Sharp $A_2$ estimates of Haar shifts via Bellman function

zbMath1299.42046arXiv1105.2252MaRDI QIDQ5402943

S. R. Treil'

Publication date: 17 March 2014

Full work available at URL: https://arxiv.org/abs/1105.2252

zbMATH Keywords

convexitysingular integralsBellman functionmartingale transforms\(A_2\) conjectureHaar shifts

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Convexity of real functions of several variables, generalizations (26B25) Martingales and classical analysis (60G46)

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The sharp square function estimate with matrix weight ⋮ Entropy conditions in two weight inequalities for singular integral operators ⋮ Bounds for Calderón-Zygmund operators with matrix \(A_{2}\) weights ⋮ Dimension-free properties of strong Muckenhoupt and reverse Hölder weights for Radon measures ⋮ Bounds for the Hilbert transform with matrix \(A_{2}\) weights ⋮ The sharp weighted bound for general Calderón-Zygmund operators ⋮ Dyadic Harmonic Analysis and Weighted Inequalities: The Sparse Revolution ⋮ Two weight estimates with matrix measures for well localized operators ⋮ Linear bounds for Calderón-Zygmund operators with even kernel on UMD spaces ⋮ Two-weighted estimates for positive operators and Doob maximal operators on filtered measure spaces ⋮ On the A 2 Inequality for Calderón–Zygmund Operators

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