Pitt inequalities and restriction theorems for the Fourier transform

DOI10.4171/RMI/955zbMath1381.42018arXiv1509.01210OpenAlexW2963674743MaRDI QIDQ1676060

Laura De Carli, Sergey Yu. Tikhonov, Dmitry Gorbachev

Publication date: 3 November 2017

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.01210

zbMATH Keywords

weightsuncertainty principlerestriction theoremsPitt inequalitiesRiemann-Lebesgue estimate

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) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Other transformations of harmonic type (42C20)

Related Items (11)

Weighted Fourier inequalities and boundedness of variation ⋮ The weighted Fourier inequality, polarity, and reverse Hölder inequality ⋮ Weighted Hankel transform and its applications to Fourier transform ⋮ Weighted gradient inequalities and unique continuation problems ⋮ A weighted inequality for trigonometric series ⋮ Weighted norm inequalities for integral transforms ⋮ Extensions of the vector-valued Hausdorff-Young inequalities ⋮ Asymptotic decay of Fourier, Laplace and other integral transforms ⋮ Decay of Fourier Transforms and Generalized Besov Spaces ⋮ Weighted Fourier inequalities in Lebesgue and Lorentz spaces ⋮ Hardy-Littlewood-type theorems for Fourier transforms in \(\mathbb{R}^d\)

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