Two-sided weighted Fourier inequalities

DOI10.2422/2036-2145.201005_008zbMath1278.42006OpenAlexW2507355264MaRDI QIDQ2915217

Elijah Liflyand, Sergey Yu. Tikhonov

Publication date: 21 September 2012

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2422/2036-2145.201005_008

zbMATH Keywords

weight functionFourier transform norm inequality, \(L_{p}\)-space

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 (42A38) Inequalities for sums, series and integrals (26D15)

Related Items (10)

Weighted Fourier inequalities and boundedness of variation ⋮ Functions with general monotone Fourier coefficients ⋮ General monotonicity and interpolation of operators ⋮ Unnamed Item ⋮ Weighted norm inequalities for integral transforms ⋮ Extensions of the vector-valued Hausdorff-Young inequalities ⋮ Pitt and Boas inequalities for Fourier and Hankel transforms ⋮ General monotone functions and their Fourier coefficients ⋮ Rearrangements of general monotone functions and of their Fourier transforms ⋮ The Boas problem on Hankel transforms

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