Convergence of logarithmic means of multiple Walsh-Fourier series

DOI10.1007/BF02836855zbMath1105.42018OpenAlexW2026256831MaRDI QIDQ3411906

G. E. Tkebuchava, Ushangi Goginava, György Gát

Publication date: 30 November 2006

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02836855

zbMATH Keywords

Nörlund meansconvergence in metric and in measure

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (4)

Two-dimensional martingale transforms and their applications in summability of Walsh-Fourier series ⋮ Convergence in measure of logarithmic means of quadratical partial sums of double Walsh-Kaczmarz-Fourier series ⋮ Order of magnitude of multiple Walsh-Fourier coefficients of functions of bounded \(\phi\)-variation ⋮ On the divergence of Nörlund logarithmic means of Walsh-Fourier series

Cites Work

• Approximation by Nörlund means of Walsh-Fourier series
• Recent developments in the theory of Walsh series
• Series with respect to the Walsh system and their generalizations
• On Walsh-Fourier Series
• A Remarkable Series of Orthogonal Functions (I)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Convergence of logarithmic means of multiple Walsh-Fourier series