{ "id": "1410.7978", "version": "v1", "published": "2014-10-21T20:36:25.000Z", "updated": "2014-10-21T20:36:25.000Z", "title": "A sharp boundedness result concerning some maximal operators of Vilenkin-Fejér means", "authors": [ "L. E. Persson", "G. Tephnadze" ], "categories": [ "math.CA", "math.FA" ], "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 $H_{p}$ to the space $L_{p}$ for all $0