On the maximal operators of Walsh-Kaczmarz-Nörlund means

2014/10/05 by George Tephnadze, Tephnadze, George
Mathematics · #42C10 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1410.7976

openalex publication_date 2014/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main aim of this paper is to investigate ( H_p,L_p,∞ ) type inequalities for maximal operators of Nörlund means with monotone coefficients of one-dimensional Walsh-Kaczmarz system. By applying this results we conclude a.e convergence of such Walsh-Kaczmarz-Nörlund means.

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