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arXiv · 1410.7978

A sharp boundedness result concerning some maximal operators of Vilenkin-Fejér means

L. E. Persson·G. Tephnadze
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Abstract

In this paper we derive the maximal subspace of positive numbers, for which the restricted maximal operator of Fejér means in this subspace is bounded from the Hardy space $H_{p}$ to the space $L_{p}$ for all $0<p\leq 1/2.$ Moreover, we prove that the result is in a sense sharp.

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BibTeXRIS

L. E. Persson, G. Tephnadze. 2014-10-21. A sharp boundedness result concerning some maximal operators of Vilenkin-Fejér means. https://arxiv.org/abs/1410.7978

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