A note on the norm convergence by Vilenkin-Fejér means

Abstract

The main aim of this paper is to find necessary and sufficient conditions for the convergence of Fejér means in terms of the modulus of continuity on the Hardy spaces $H_p,$ when $0<p\le 1/2.$

arXiv comment-

References in corpus (1)

• Fejér means of Vilenkin-Fourier series

Cited by in corpus (6)

• The One-dimensional Martingale Hardy Spaces and Partial Sums and Fejér Means with respect to Walsh system
• On the convergence of Fejér means of Walsh-Fourier series in the space $H_p$
• A note on Vilenkin-Fejér means on the Martingale Hardy spaces $H_p$
• On the Partial Sums and Marcinkiewicz and Fejér Means on the One- and Two-dimensional One-parameter Martingale Hardy Spaces
• Ph.D. Thesis-Martingale Hardy spaces and summability of the one dimensional Vilenkin-Fourier series
• On the convergence of partial sums with respect to Vilenkin system on the martingale Hardy spaces