A sharp boundedness result concerning some maximal operators of Vilenkin-Fej\'er means
Classical Analysis and ODEs
2014-10-30 v1 Functional Analysis
Abstract
In this paper we derive the maximal subspace of positive numbers, for which the restricted maximal operator of Fej\'er means in this subspace is bounded from the Hardy space to the space for all Moreover, we prove that the result is in a sense sharp.
Keywords
Cite
@article{arxiv.1410.7978,
title = {A sharp boundedness result concerning some maximal operators of Vilenkin-Fej\'er means},
author = {L. E. Persson and G. Tephnadze},
journal= {arXiv preprint arXiv:1410.7978},
year = {2014}
}