Strong convergence theorems of Walsh-Fejér means

2014/10/05 by George Tephnadze · 1 citation
Mathematics · #math.CA #math.FA #msc:42C10

paper · pdf · doi:10.1007/s10474-013-0361-5

Walsh system, Fejér means, martingale Hardy space, strong convergence, Acta Mathematica Hungarica, 2014

arxiv created 2014/10/05 · arxiv updated 2014/10/29

Abstract

As main result we prove that Fejér means of Walsh-Fourier series are uniformly bounded operators from H_p to H_p ( 0<p≤ 1/2) .

Cited by

• On the (C,α) -means with respect to the Walsh system

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