Strong convergence theorems of Walsh-Fej\'er means
Classical Analysis and ODEs
2014-10-29 v1 Functional Analysis
Abstract
As main result we prove that Fej\'er means of Walsh-Fourier series are uniformly bounded operators from to $\left( 0<p\leq 1/2\right) .
Keywords
Cite
@article{arxiv.1410.7636,
title = {Strong convergence theorems of Walsh-Fej\'er means},
author = {George Tephnadze},
journal= {arXiv preprint arXiv:1410.7636},
year = {2014}
}
Comments
Walsh system, Fej\'er means, martingale Hardy space, strong convergence, Acta Mathematica Hungarica, 2014