Sharp weighted bounds for the Hilbert transform of odd and even functions

DOI10.1016/j.trmi.2016.07.005zbMath1429.42020OpenAlexW2478875982WikidataQ114125363 ScholiaQ114125363MaRDI QIDQ2010653

Alexander Meskhi, Jérôme Gilles

Publication date: 27 November 2019

Published in: Transactions of A. Razmadze Mathematical Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.trmi.2016.07.005

zbMATH Keywords

Hilbert transformone-weight inequalitysharp weighted bound

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Cites Work

• Unnamed Item
• Unnamed Item
• Sharp weighted bounds for multiple integral operators
• 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
• Weighted inequalities for the dyadic square function without dyadic \(A_{\infty}\)
• Sharp reverse Hölder property for \(A_\infty\) weights on spaces of homogeneous type
• Weighted Norm Inequalities for the Continuous Square Function
• A Description of Weights Satisfying the A ∞ Condition of Muckenhoupt
• Weighted Norm Inequalities for Hilbert Transforms and Conjugate Functions of Even and Odd Functions
• Estimates for Operator Norms on Weighted Spaces and Reverse Jensen Inequalities
• The sharp bound for the Hilbert transform on weighted Lebesgue spaces in terms of the classical A p characteristic
• Weighted Norm Inequalities for the Hardy Maximal Function
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform