On The maximal operators of Vilenkin-Fej\'er means
Classical Analysis and ODEs
2014-10-24 v1 Functional Analysis
Abstract
The main aim of this paper is to prove that the maximal operator \overset{% \sim }{\sigma }^{*}f:=\underset{n\in P}{\sup }\frac{\left| \sigma_{n}f\right| }{\log ^{2}\left( n+1\right) } is bounded from the Hardy space to the space , where is Fej\'er means of bounded Vilenkin-Fourier series.
Keywords
Cite
@article{arxiv.1410.6416,
title = {On The maximal operators of Vilenkin-Fej\'er means},
author = {George Tephnadze},
journal= {arXiv preprint arXiv:1410.6416},
year = {2014}
}
Comments
Vilenkin system, Fej\'er means, martingale Hardy space. arXiv admin note: text overlap with arXiv:1410.6101