Abstract
The main aim of this paper is to prove that when 0 < p < 1/2 the maximal operator ∼ σ ∗ p f := sup n∈N |σn f | (n+1)1/p−2 is bounded from the martingale Hardy space Hp to the space Lp, where σn is n -th Fejer mean with respect to bounded Vilenkin system. Mathematics subject classification (2010): 42C10.
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