Vilenkin-Lebesgue points and almost everywhere convergence for some classical summability methods
DOI10.1007/s00009-022-02156-6zbMath1501.42006OpenAlexW4296143856WikidataQ114232195 ScholiaQ114232195MaRDI QIDQ2094525
Lars-Erik Persson, Ferenc Weisz, Nato Nadirashvili, Giorgi Tephnadze
Publication date: 28 October 2022
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-022-02156-6
Vilenkin systemalmost everywhere convergenceFejer means\(T\)-meansNorlund meansVilenkin-Lebesgue points
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Summability and absolute summability of Fourier and trigonometric series (42A24)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sharp \(H_{p}\)-\(L_{p}\) type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications
- Approximation by Nörlund means of quadratical partial sums of double Walsh-Fourier series
- Approximation by Nörlund means of Walsh-Fourier series
- Martingale Hardy spaces and their applications in Fourier analysis
- Investigations of certain operators with respect to the Vilenkin system
- Cesàro means of integrable functions with respect to unbounded Vilenkin systems
- The Walsh-Kaczmarz-Marcinkiewicz means and Hardy spaces
- Approximation by \(\Theta\)-means of Walsh-Fourier series
- An analogy of the Carleson-Hunt theorem with respect to Vilenkin systems
- Walsh-Marcinkiewicz means and Hardy spaces
- Maximal operators of Vilenkin-Nörlund means
- Approximation by Walsh-Marcinkiewicz means on the Hardy space \(H_{2/3}\)
- Strong convergence theorem for Walsh-Marcinkiewicz means
- Approximation by Nӧrlund means of double Walsh-Fourier series for Lipschitz functions
- A note on the maximal operators of Vilenkin—Nörlund means with non-increasing coefficients
- Pointwise summability of Vilenkin--Fourier series
- On the maximal operator of Walsh--Marcinkiewicz means
- Approximation by Nörlund means of Walsh–Kaczmarz–Fourier series
- Some new (H_p,L_p) $ type inequalities of maximal operators of Vilenkin-Nörlund means with non-decreasing coefficients
- On the Nörlund means of Vilenkin-Fourier series
- On a generalization of the concept of derivative
- Classical and Multilinear Harmonic Analysis
- Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series
- Approximation by Marcinkiewicz ϴ-means of double Walsh-Fourier series
- On the Walsh Functions
This page was built for publication: Vilenkin-Lebesgue points and almost everywhere convergence for some classical summability methods
