Absolute convergence of double Walsh-Fourier series and related results

DOI10.1007/S10474-010-0065-ZzbMath1240.42132OpenAlexW2088417199MaRDI QIDQ653824

Ferenc Móricz, Antal Veres

Publication date: 19 December 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-010-0065-z

zbMATH Keywords

double Walsh-Fourier seriesabsolute convergencedyadic \(L^p\)-modulus of continuitydyadic Lipschitz classes of functions in two variablesdyadic modulus of continuityfunctions of \(s\)-bounded fluctuation

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Lipschitz (Hölder) classes (26A16) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (4)

On multiple Walsh-Fourier coefficients of functions of \(\varphi-\Lambda\) -bounded variation ⋮ On the absolute convergence of orthogonal series ⋮ Generalized absolute convergence of single and double series in multiplicative systems ⋮ Unnamed Item

Cites Work

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• On Definitions of Bounded Variation for Functions of Two Variables

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