A note on Vilenkin-Fejér means on the Martingale Hardy spaces HpH_{p}

preprint2015arXivOpen access

Abstract

The main aim of this note is to derive necessary and sufficient conditions for the convergence of Fejér means in terms of the modulus of continuity of the Hardy spaces Hp,H_{p}, (0<p≤1)\left(0<p\leq 1\right).

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