Boundedness of the Hilbert transform on weighted Lorentz spaces

DOI10.1016/j.jmaa.2012.05.031zbMath1248.42010OpenAlexW2078366523MaRDI QIDQ441971

Javier Soria, Elona Agora, María Jesús Carro

Publication date: 8 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.05.031

zbMATH Keywords

Hilbert transformLorentz spaceweightMuckenhoupt weight

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items

Weighted estimates for Bochner–Riesz operators on Lorentz spaces ⋮ Weighted Hardy-type operators on nonincreasing cones ⋮ Weighted strong-type estimates on classical Lorentz spaces ⋮ Characterization of the weak-type boundedness of the Hilbert transform on weighted Lorentz spaces ⋮ Boundedness of classical operators on rearrangement-invariant spaces ⋮ Boundedness of sparse and rough operators on weighted Lorentz spaces

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