Inequalities for derivatives with the Fourier transform

DOI10.1016/j.acha.2021.02.001zbMath1475.42015OpenAlexW3126483311MaRDI QIDQ2036413

Konstantin Yu. Osipenko

Publication date: 29 June 2021

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2021.02.001

zbMATH Keywords

Fourier transformsharp constantsinequality for derivativesCarlson type inequalitiesmultidimensional inequalities for derivatives

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Inequalities involving derivatives and differential and integral operators (26D10) Best constants in approximation theory (41A44)

Related Items (2)

Optimal recovery and generalized Carlson inequality for weights with symmetry properties ⋮ Sharp Carlson type inequalities with many weights

Cites Work

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• Approximation of unbounded operators by bounded operators and related extremal problems
• Optimal recovery of linear operators in non-Euclidean metrics
• Optimal recovery of values of functions and their derivatives from inaccurate data on the Fourier transform

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