APPLICATIONS OF MULTI-PARAMETER MARTINGALES IN FOURIER ANALYSIS-Reference-Cited by-同舟云学术

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APPLICATIONS OF MULTI-PARAMETER MARTINGALES IN FOURIER ANALYSIS

Published:2011-09 Issue:02n03 Volume:11 Page:551-568
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

WEISZ FERENC¹

Affiliation:

1. Department of Numerical Analysis, Eötvös L. University, H-1117 Budapest, Pázmány P. sétány 1/C., Hungary

Abstract

With the help of the theory of multi-parameter martingales we prove almost everywhere convergence of the Fejér means of two-dimensional Walsh–Fourier series of f ∈ L log L.

Publisher

World Scientific Pub Co Pte Lt

Subject

Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493711003449

Reference29 articles.

1. Sur la convergence presque partout des séries de Fourier-Walsh des fonctions de l'espace L²(0,1)

2. Comparaison des "Normes" $L_p$ du Processus Croissant et de la Variable Maximale Pour Les Martingales Regulieres a Deux Indices. Theoreme Local Correspondant

3. Regularite des martingales a deux indices et inegalites de normes

4. Distribution Function Inequalities for Martingales

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