Inequalities for Fourier transforms

DOI10.4064/sm-37-3-245-276zbMath0224.46037OpenAlexW954915552MaRDI QIDQ5630200

Max jun. Jodeit, Alberto Torchinsky

Publication date: 1971

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/217487

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) Trigonometric interpolation (42A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Interpolation in approximation theory (41A05)

Related Items (14)

Fourier series in weighted Lorentz spaces ⋮ Optimality problems in Orlicz spaces ⋮ The class \(B_{p}\) for weighted generalized Fourier transform inequalities ⋮ Weighted norm inequalities for integral transforms ⋮ Weighted Dunkl transform inequalities and application on radial Besov spaces ⋮ Convolution estimates for some measures on flat curves ⋮ Pointwise \((H,\Phi)\) strong approximation by Fourier series of \(L^{1}\) integrable functions ⋮ On the Fourier transform of the symmetric decreasing rearrangements ⋮ Weighted Fourier inequalities via rearrangements ⋮ Weighted inequalities and uncertainty principles for the (k,a)-generalized Fourier transform ⋮ 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 ⋮ Two weighted \((L^ p,L^ q)\) estimates for the Fourier transform

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