Almost everywhere convergence of cone-like restricted two-dimensional Fejér means with respect to Vilenkin-like systems

2014 ◽  
Vol 25 (4) ◽  
pp. 605-614
Author(s):  
K. Nagy
Keyword(s):  
Two Dimensional ◽  
Almost Everywhere Convergence ◽  
Fejér Means ◽  
Almost Everywhere

APPLICATIONS OF MULTI-PARAMETER MARTINGALES IN FOURIER ANALYSIS

2011 ◽  
Vol 11 (02n03) ◽  
pp. 551-568
Author(s):  
FERENC WEISZ
Keyword(s):  
Fourier Series ◽  
Fourier Analysis ◽  
Two Dimensional ◽  
Almost Everywhere Convergence ◽  
Fejér Means ◽  
Almost Everywhere ◽  
L Log L

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.

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