Strong convergence of two--dimensional Vilenkin-Fourier series
Classical Analysis and ODEs
2018-01-01 v1
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 to the space for We also prove that the sequence in the denominator cannot be improved.
Keywords
Cite
@article{arxiv.1712.10326,
title = {Strong convergence of two--dimensional Vilenkin-Fourier series},
author = {N. Memiæ and I. Simon and G. Tephnadze},
journal= {arXiv preprint arXiv:1712.10326},
year = {2018}
}