The maximal operators of logarithmic means of one-dimensional Vilenkin-Fourier series
arXiv:1410.6101
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.
Vilenkin system, Logarithmic means, martingale Hardy space
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- The One-dimensional Martingale Hardy Spaces and Partial Sums and Fejér Means with respect to Walsh system
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- On the Partial Sums and Marcinkiewicz and Fejér Means on the One- and Two-dimensional One-parameter Martingale Hardy Spaces
- Lebesgue and Vilenkin-Lebesgue points and a.e. Convergence of T means with respect to Vilenkin systems of integrable functions