Uniform convergence and integrability of multiplicative Fourier transforms

DOI10.1134/S0001434615070056zbMath1326.42012MaRDI QIDQ887474

Boris I. Golubov, Sergey S. Volosivets

Publication date: 26 October 2015

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

zbMATH Keywords

uniform convergenceDirichlet kernelHölder's inequalityHardy's inequalityMinkowski's inequalityHerz spaceweighted integrabilityLipschitz classLipschitz-Besov spacemultiplicative Fourier transforms

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

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• Weighted integrability of multiplicative Fourier transforms
• The Fourier transforms of Herz spaces on certain groups
• Extended solution of Boas' conjecture on Fourier transforms
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• On the rate of convergence of Cesàro means of Walsh-Fourier series
• Fourier transforms and generalized Lipschitz classes in uniform metric
• Uniform convergence and integrability of Fourier integrals
• Best possible sufficient conditions for the Fourier transform to satisfy the Lipschitz or Zygmund condition
• Interpolation of Linear Operators
• Hardy Inequalities with Mixed Norms
• The modified multiplicative integral and derivative of arbitrary order on the semiaxis

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