Series in multiplicative systems in Lorentz spaces

DOI10.1134/S0001434617090024zbMath1390.42028OpenAlexW2765818295MaRDI QIDQ679846

Sergey S. Volosivets

Publication date: 22 January 2018

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

Full work available at URL: https://doi.org/10.1134/s0001434617090024

zbMATH Keywords

Lorentz spacebest approximationmultiplicative systemsKonyushkov-type theorems on equivalence of \(O\)- and \(\asymp\)-relations

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Best approximation, Chebyshev systems (41A50)

Related Items (1)

Counterexamples to the Hardy-Littlewood theorem for generalized monotone sequences

Cites Work

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• Fourier-Price coefficients of class GM and best approximations of functions in the Lorentz space \(L_{p\theta}[0, 1)\), \(1<p<+\infty\), \(1<\theta<+\infty\)
• Trigonometric series with general monotone coefficients
• On the best approximation of functions with respect to multiplicative systems and the properties of their Fourier coefficients
• Inequalities of Hardy-Littlewood type
• On Hardy and Bellman transforms of series with respect to multiplicative systems in symmetric spaces
• Some new functional spaces
• Integrability and continuity of functions represented by trigonometric series: coefficients criteria
• Notes on the Theory of Series (XIII): Some New Properties of Fourier Constants
• General monotone sequences and trigonometric series
• Hardy's inequality with weights
• An application of interpolation theory to Fourier series

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