Rellich identities for the Hilbert transform

DOI10.1016/j.jfa.2023.110271MaRDI QIDQ6185656

María Jesús Carro, Virginia Naibo, María Soria-Carro

Publication date: 30 January 2024

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

zbMATH Keywords

Hilbert transformRellich identityHelson-Szegö theorem\(A_2\)-conjecture

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

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• Weak and strong type estimates for maximal truncations of Calderón-Zygmund operators on \(A_p\) weighted spaces
• The sharp weighted bound for general Calderón-Zygmund operators
• Sharp weighted estimates for classical operators
• The theory of weights and the Dirichlet problem for elliptic equations
• Transmission problems and spectral theory for singular integral operators on Lipschitz domains
• Sharp weighted estimates for dyadic shifts and the \(A_2\) conjecture
• A problem in prediction theory
• The Neumann problem in graph Lipschitz domains in the plane
• Weighted H p Spaces on Lipschitz Domains
• Classical Fourier Analysis
• A Simple Proof of the A2 Conjecture
• The sharp bound for the Hilbert transform on weighted Lebesgue spaces in terms of the classical A p characteristic
• The sharp weighted bound for the Riesz transforms
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform

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