On \(L^p\)-norm convergence of series with respect to product systems

DOI10.1007/BF02079907zbMath0364.40009OpenAlexW144355337MaRDI QIDQ1240854

Ferenc Schipp

Publication date: 1976

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02079907

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Summability in abstract structures (40J05)

Related Items (18)

An analogy of the Carleson-Hunt theorem with respect to Vilenkin systems ⋮ On the two-dimensional Marcinkiewicz means with respect to Walsh--Kaczmarz system ⋮ On the almost everywhere convergence of Fejér means of functions on the group of 2-adic integers ⋮ \(L^ p\)-norm convergence of series in compact, totally disconnected groups ⋮ On the Lebesgue test for convergence of Fourier series on unbounded Vilenkin groups ⋮ Vilenkin-Fourier series in variable Lebesgue spaces ⋮ Pointwise convergence of the Fejér means of functions on unbounded Vilenkin groups ⋮ Verallgemeinerte Walsh—Fourierreihen. II ⋮ Norm convergence of double Fourier series on unbounded Vilenkin groups ⋮ Norm convergence of logarithmic means on unbounded Vilenkin groups ⋮ Vilenkin systems and generalized triangular truncation operator ⋮ Pointwise convergence of expansions with respect to certain product systems ⋮ Some inequalities for tree martingales ⋮ Best approximation of functions by polynomials with respect to multiplicative systems and generalized monotonicity ⋮ On the convergence of Vilenkin-Fourier series ⋮ Convergence in \(L^p\)-norm of Fourier series on the complete product of quaternion groups with bounded orders ⋮ Walsh-Fourier series and their generalizations in Orlicz spaces ⋮ Martingale transforms and uniformly convergent orthogonal series

Cites Work

• On generalized Walsh Fourier series
• Distribution function inequalities for martingales
• Pointwise convergence of expansions with respect to certain product systems
• Extrapolation and interpolation of quasi-linear operators on martingales
• Ecole d'ete de probabilités: Processus stochastiques
• Almost Everywhere Convergence of Vilenkin-Fourier Series
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On \(L^p\)-norm convergence of series with respect to product systems