Synopses & Reviews
Synopsis
- 1. Partial Sums of Vilenkin-Fourier Series in Lebesgue Spaces. - 2. Martingales and Almost Everywhere Convergence of Partial Sums of Vilenkin-Fourier Series. - 3. Vilenkin-Fej r Means and an Approximate Identityin Lebesgue Spaces. - 4. N rlund and T Means of Vilenkin-Fourier Series in Lebesgue Spaces. - 5. Theory of Martingale Hardy Spaces. - 6. Vilenkin-Fourier Coefficients and Partial Sums in Martingale Hardy Spaces. - 7. Vilenkin-Fej r Means in Martingale Hardy Spaces. - 8. N rlund and T Means of Vilenkin-Fourier Series in Martingale Hardy Spaces. - 9. Convergence of Vilenkin-Fourier Series in Variable Martingale Hardy Spaces. - 10. Appendix: Dyadic Group and Walsh and Kaczmarz Systems.