On the maximal operators of Riesz logarithmic means of Vilenkin-Fourier series

Abstract

The main aim of this paper is to investigate $\left(H_p,L_p\right)$ and $\left(H_p,L_{p,\infty }\right)$ type inequalities for maximal operators of Riesz logarithmic means of one-dimensional Vilenkin-Fourier series.

arXiv commentVilenkin 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