The maximal operators of logarithmic means of one-dimensional Vilenkin-Fourier series

Abstract

The main aim of this paper is to investigate (H_{p},L_{p})-type inequalities for maximal operators of logarithmic means of one-dimensional Vilenkin-Fourier series.

arXiv commentVilenkin system, Logarithmic means, martingale Hardy space

Cited by in corpus (7)

• On the Nörlund means of Vilenkin-Fourier series
• The One-dimensional Martingale Hardy Spaces and Partial Sums and Fejér Means with respect to Walsh system
• On the maximal operators of Walsh-Kaczmarz-Nörlund means
• Lebesgue and Vilenkin-Lebesgue points and a.e. Convergence of T means with respect to Vilenkin systems of integrable functions
• Ph.D. Thesis-Martingale Hardy spaces and summability of the one dimensional Vilenkin-Fourier series
• On the Partial Sums and Marcinkiewicz and Fejér Means on the One- and Two-dimensional One-parameter Martingale Hardy Spaces
• Maximal operators of Vilenkin-Nörlund means