On the maximal operators of Walsh-Kaczmarz-Fejér means

2014/10/05 by George Tephnadze · 2 citations
Mathematics · #math.CA #math.FA

paper · pdf · doi:10.1007/s10998-013-4617-1

published as Periodica Mathematica Hungarica, 67, (1), 2013, 33-45 · Walsh-Kaczmarz system, Fejér means, martingale Hardy space

arxiv created 2014/10/05 · arxiv updated 2014/10/27

Abstract

The main aim of this paper is to prove that the maximal operator σ_p^κ,∗ f:=sup_{n∈ P}\vert σ_n^κf\vert /( n+1) ^1/p-2 is bounded from the Hardy space % H_p to the space L_p, for 0<p<1/2.

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