On the estimate of deviations of partial sums of a multiple Fourier-Walsh series of the form S2j,⋯,2jf(x) of a function in the metric L1(Qk)

DOI10.1063/1.5000607zbMath1494.46034OpenAlexW2755353737MaRDI QIDQ5062167

Mendybay Turgumbayev, Dauren Matin, Alua Igenberlina

Publication date: 15 March 2022

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5000607

zbMATH Keywords

multiple Fourier-Walsh seriesBesov spaces on the dyadic group

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Cites Work

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• Generalized Lipschitz Spaces on Vilenkin Groups
• On the characterization of Hardy-Besov spaces on the dyadic group and its applications
• Homogeneous Besov spaces on locally compact Vilenkin groups

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