On the partial sums of Vilenkin-Fourier series
Classical Analysis and ODEs
2014-10-29 v1 Functional Analysis
Abstract
The main aim of this paper is to investigate weighted maximal operators of partial sums of Vilenkin-Fourier series. We also use our results to prove approximation and strong convergence theorems on the martingale Hardy spaces when
Keywords
Cite
@article{arxiv.1410.7635,
title = {On the partial sums of Vilenkin-Fourier series},
author = {George Tephnadze},
journal= {arXiv preprint arXiv:1410.7635},
year = {2014}
}
Comments
Vilenkin system, partial sums, martingale, Hardy space, modulus of continuity, convergence. arXiv admin note: text overlap with arXiv:1410.6102, arXiv:1410.7075, arXiv:1410.7204