Strong convergence of two--dimensional Vilenkin-Fourier series

2017/12/15 by N. Memiæ, Memiæ, N., Ilona Simon +3
Mathematics · #42C10 #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.1712.10326

openalex publication_date 2017/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that certain means of the quadratical partial sums of the two-dimensional Vilenkin-Fourier series are uniformly bounded operators from the Hardy space H_p to the space L_p for 0

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