A note on Vilenkin-Fejér means on the Martingale Hardy spaces $H_p$

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 $H_p,$ $\left(0<p\le 1\right)$.

References in corpus (2)

• Fejér means of Vilenkin-Fourier series
• A note on the norm convergence by Vilenkin-Fejér means