(H_p-L_p) type inequalities for subsequences of Nörlund means of Walsh-Fourier series

2023/03/03 by David Baramidze, Lars‐Erik Persson, Baramidze, David +5
Mathematics · #42C10 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2303.01846

openalex publication_date 2023/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the subsequence \t_2ⁿf \ of Nörlund means with respect to the Walsh system generated by non-increasing and convex sequences. In particular, we prove that a big class of such summability methods are not bounded from the martingale Hardy spaces H_p to the space weak-L_p for 0

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