Some new results for subsequences of Nörlund logarithmic means of Walsh-Fourier series

2022/01/21 by D. Baramidze, L. -E. Persson, Baramidze, D. +5
Mathematics · #42C10 #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2201.08493

openalex publication_date 2022/01/21 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

Abstract

We prove that there exists a martingale f∈ H_p such that the subsequence \L_2ⁿf \ of Nörlund logarithmic means with respect to the Walsh system are not bounded in the Lebesgue space weak-L_p for 0

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