Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series (Hardcover, 2022)

- Partial Sums of Vilenkin-Fourier Series in Lebesgue Spaces.- Martingales and Almost Everywhere Convergence of Partial sums of Vilenkin-Fourier Series.- Vilenkin-Fej´er means and an Approximate Identity in Lebesgue Spaces.- N¨orlund and T Means of Vilenkin-Fourier series in Lebesgue Spaces.- Theory of Martingale Hardy Spaces.- Vilenkin-Fourier Coefficients and Partial Sums in Martingale Hardy Spaces.- Vilenkin-Fej´er Means in Martingale Hardy Spaces.- N¨orlund and T Means of Vilenkin-Fourier Series in Martingale Hardy Spaces.- Convergence of Vilenkin-Fourier Series in Variable Martingale Hardy Spaces.- Appendix: Dyadic Group and Walsh and Kaczmarz Systems.