Some new restricted maximal operators of Fejér means of Walsh-Fourier series

DOI10.1007/s43037-023-00300-2MaRDI QIDQ6084023

Lasha Baramidze, Giorgi Tephnadze, Lars-Erik Perssson, Davit Baramidze

Publication date: 31 October 2023

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

Walsh systemmaximal operatorsFejér meansmartingale Hardy spacerestricted maximal operators

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) (H^p)-spaces (42B30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A sharp boundedness result concerning some maximal operators of Vilenkin-Fejér means
• The martingale Hardy type inequality for Marcinkiewicz-Fejér means of two-dimensional conjugate Walsh-Fourier series
• Martingale Hardy spaces and their applications in Fourier analysis
• Investigations of certain operators with respect to the Vilenkin system
• Strong convergence theorems for Walsh-Fejér means
• Maximal operators of Fejér means of double Walsh-Fourier series
• Cesàro summability of one- and two-dimensional Walsh-Fourier series
• On the convergence of Fejér means of Walsh-Fourier series in the space \(H_p\)
• A Maximal Inequality for H 1 -Functions on a Generalized Walsh-Paley Group
• On a generalization of the concept of derivative
• On the maximal operators of Vilenkin-Fejér means on Hardy spaces
• Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series
• Summability of Multi-Dimensional Fourier Series and Hardy Spaces
• Weak type inequalities for the Walsh and bounded Ciesielski systems
• Cesàro summability with respect to two-parameter Walsh systems

This page was built for publication: Some new restricted maximal operators of Fejér means of Walsh-Fourier series