\(L_p\)-inequalities for differences and derivatives of positive order for functions with spectrum in the ball or spherical layer

DOI10.1134/S0001434614030109zbMath1338.42032MaRDI QIDQ2341993

Nikolaĭ L'vovich Kudryavtsev

Publication date: 8 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Fourier transformBernstein-type inequalityYoung's inequalityBohr-Favard-type inequality\(L_p\)-inequalityLizorkin-Triebel spaceRiesz-type inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Trigonometric approximation (42A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for sums, series and integrals (26D15) Harmonic analysis in several variables (42B99)

Related Items (1)

Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\)

Cites Work

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• Fractional differences and Lizorkin-Triebel spaces
• Estimates for entire functions of exponential type
• On riesz-type inequalities and k-functionals related to riesz potentials in

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