Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series

- 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-Fejer Means and an Approximate Identityin Lebesgue Spaces. - 4. Noerlund 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-Fejer Means in Martingale Hardy Spaces. - 8. Noerlund 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.

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• Análise complexa, variáveis ??complexas
• Cálculo e análise matemática
• Análise funcional e transforma

Harmonic Analysis;Vilenkin Groups;Vilenkin Systems;Lebesgue Spaces;Weak-Lp Spaces;Modulus of Continuity;Vilenkin-Fourier Coefficients;Partial Sums of Vilenkin-Fourier Series;Lebesgue Constants;Fejer Means;Cesaro Means;Norlund Means;Riesz Logarithmic Means;Norlund Logarithmic Means;Martingale Hardy Spaces;Variable Lebesgue Spaces;Variable Martingale Hardy Spaces;Maximal Operators;Strong Convergence