L. E. Persson, G. Tephnadze
Published 2014-10-21Version 1
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 $H_{p}$ to the space $L_{p}$ for all $0<p\leq 1/2.$ Moreover, we prove that the result is in a sense sharp.
Approximation by Walsh-Kaczmarz-Fejér means on the Hardy space
$L\log \log L$ versions of Stein's and Zygmund's theorems for the Hardy space $H^{\log}(\mathbb{R}^d)$
On the boundedness of subsequences of Vilenkin-Fejér means on the martingale Hardy spaces
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