The Fourier transform in weighted Lorentz spaces

DOI10.5565/PUBLMAT_47103_01zbMath1045.42004MaRDI QIDQ1425299

Gordon Sinnamon

Publication date: 16 March 2004

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41466

zbMATH Keywords

Fourier transformboundednessweighted Lorentz spaces

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) Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (11)

New limiting variants of the classical reiteration theorem for the \(K\)-interpolation method ⋮ Fourier series in weighted Lorentz spaces ⋮ A Calderón couple of down spaces ⋮ Weighted inequalities for discrete iterated kernel operators ⋮ Symmetric conditions for a weighted Fourier transform inequality ⋮ Extensions of the vector-valued Hausdorff-Young inequalities ⋮ Limiting reiteration for real interpolation with slowly varying functions ⋮ Weighted Fourier inequalities via rearrangements ⋮ A sharp variant of the Marcinkiewicz theorem with multipliers in Sobolev spaces of Lorentz type ⋮ Weak-Type Boundedness of the Fourier Transform on Rearrangement Invariant Function Spaces ⋮ Weighted Fourier inequalities in Lebesgue and Lorentz spaces

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