Sharp $(H_p,L_p)$ and $(H_p,\text{weak}-L_p)$ type inequalities of weighted maximal operators of $T$ means with respect to Vilenkin systems

zbMath1500.42012arXiv2106.11836MaRDI QIDQ5866677

Publication date: 22 September 2022

Full work available at URL: https://arxiv.org/abs/2106.11836

maximal operator $L_p$ spaces Vilenkin systems Riesz means Fejér mean martingale Hardy spaces $T$ means weak-$L_p$ spaces Vilenkin-Nörlund means

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (1)

Unnamed Item

Cites Work

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
Strong convergence of two-dimensional Walsh-Fourier series
$\theta$-summability of Fourier series
On the partial sums of Vilenkin-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
On an approximation of 2-dimensional Walsh-Fourier series in martingale Hardy spaces
The Walsh-Kaczmarz-Marcinkiewicz means and Hardy spaces
Approximation by $\Theta$-means of Walsh-Fourier series
Strong convergence theorem for Vilenkin-Fourier series
Some new results on the strong convergence of Fejér means with respect to Vilenkin systems
Some inequalities related to strong convergence of Riesz logarithmic means
Sharp $(H_p, L_p)$ type inequalities of maximal operators of $T$ means with respect to Vilenkin systems
Absolute convergence factors of Lipschitz class functions for general Fourier series
Strong convergence theorem for Walsh-Kaczmarz-Fejér means
Walsh-Marcinkiewicz means and Hardy spaces
Maximal operators of Vilenkin-Nörlund means
Approximation by Walsh-Marcinkiewicz means on the Hardy space $H_{2/3}$
Approximation by Walsh-Kaczmarz-Fejér means on the Hardy space
On the maximal operators of Walsh-Kaczmarz-Fejér means
Cesàro summability of one- and two-dimensional Walsh-Fourier series
Strong convergence theorem for Walsh-Marcinkiewicz means
On The maximal operators of Vilenkin-Fej\'er means
Strong convergence theorem for Vilenkin--Fejer means
On the partial sums of Walsh–Fourier series
A note on the maximal operators of Vilenkin—Nörlund means with non-increasing coefficients
A Maximal Inequality for H 1 -Functions on a Generalized Walsh-Paley Group
On the maximal operator of Walsh-Kaczmarz-Fejér means
On the Maximal Operators of T Means with Respect to Walsh–Kaczmarz System
Some new (H_p,L_p) $ type inequalities of maximal operators of Vilenkin-Nörlund means with non-decreasing coefficients
On a generalization of the concept of derivative
On the maximal operators of Vilenkin-Fejér means on Hardy spaces
On the boundedness of subsequences of Vilenkin-Fejér means on the martingale Hardy spaces
Maximal operators of T means with respect to Walsh-Kaczmarz system
Approximation by Marcinkiewicz ϴ-means of double Walsh-Fourier series
On a class of complete orthonormal systems
Fejér means of Vilenkin-Fourier series
On the maximal operators of Riesz logarithmic means of Vilenkin-Fourier series
Cesàro summability with respect to two-parameter Walsh systems

This page was built for publication: Sharp $(H_p,L_p)$ and $(H_p,\text{weak}-L_p)$ type inequalities of weighted maximal operators of $T$ means with respect to Vilenkin systems