On the maximal operators of Riesz logarithmic means of Vilenkin-Fourier series · arXivDesk1410.7975Oct 5, 2014Vilenkin system, Riesz logarithmic means, martingale Hardy space. arXiv admin note: text overlap with arXiv:1410.6101, arXiv:1410.6416, arXiv:1410.7204, arXiv:1410.7635, arXiv:1410.6186, arXiv:1410.7075, arXiv:1410.6102
On the maximal operators of Riesz logarithmic means of Vilenkin-Fourier series
George Tephnadze
Abstract
The main aim of this paper is to investigate (Hp,Lp) and (Hp,Lp,∞)
type inequalities for maximal operators of Riesz logarithmic means of one-dimensional Vilenkin-Fourier series.