Sharp inequalities for the Beurling-Ahlfors transform on radial functions

DOI10.1215/00127094-1962649zbMath1277.60076OpenAlexW2040314474MaRDI QIDQ1939197

Rodrigo Bañuelos, Adam Osȩkowski

Publication date: 27 February 2013

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.dmj/1359036938

zbMATH Keywords

martingaleHardy operatorjump processsharp constantBeurling-Ahlfors transformweak-type inequalityIwaniec conjecture

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Martingales with continuous parameter (60G44)

Related Items (7)

Hardy's operator minus identity and power weights ⋮ Weak-type and end-point norm estimates for Hardy operators ⋮ A sharp lower bound of Burkholder's functional for \(K\)-quasiconformal mappings and its applications ⋮ On the operator \(\Lambda^{\ast}\) and the Beurling-Ahlfors transform on radial functions ⋮ Non-stretch mappings for a sharp estimate of the Beurling-Ahlfors operator ⋮ Averaging operators on decreasing or positive functions: equivalence and optimal bounds ⋮ Norm of the discrete Cesàaro operator minus identity

Cites Work

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• On the Beurling-Ahlfors transform's weak-type constant
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