A sharp boundedness result concerning some maximal operators of Vilenkin-Fej\'er means

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 Hp to the space Lp for all 0<p≤ 1/2. Moreover, we prove that the result is in a sense sharp.

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