Maximal Summability Operators On the Dyadic Hardy Spaces

Ushangi Goginava, Salem Ben Said


It is proved that the maximal operators of subsequences of N\"{o}rlund
logarithmic means and Ces\'{a}ro means with varying parameters of
Walsh-Fourier series is bounded from the dyadic Hardy spaces $H_{p}$ to $%
L_{p}$. This implies an almost everywhere convergence for the subsequences
of the summability means.


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