Characterization of the weak-type boundedness of the Hilbert transform on weighted Lorentz spaces

DOI10.1007/s00041-013-9278-1zbMath1315.46028OpenAlexW2080307751MaRDI QIDQ485168

Javier Soria, Elona Agora, María Jesús Carro

Publication date: 9 January 2015

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-013-9278-1

zbMATH Keywords

Hilbert transformMuckenhoupt weightsweighted Lorentz spaces\(B_p\) weights

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (6)

Weighted strong-type estimates on classical Lorentz spaces ⋮ Martingale Hardy-Lorentz spaces -- a unified approach ⋮ The Neumann problem in graph Lipschitz domains in the plane ⋮ The boundedness of Hilbert transform in the local Morrey–Lorentz spaces ⋮ Calderón-Zygmund operators and commutators on weighted Lorentz spaces ⋮ Rearrangement estimates for \(A_\infty\) weights

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