Almost everywhere convergence of a subsequence of logarithmic means of Fourier series on the group of 2-adic integers

2012 ◽  
Vol 19 (3) ◽  
Author(s):  
István Blahota
Keyword(s):  
Fourier Series ◽  
Almost Everywhere Convergence ◽  
Almost Everywhere ◽  
Logarithmic Means

scholarly journals Maximal summability operators on the dyadic hardy spaces

Filomat ◽  
2021 ◽  
Vol 35 (7) ◽  
pp. 2189-2208
Author(s):  
Ushangi Goginava ◽  
Salem Said
Keyword(s):  
Fourier Series ◽  
Hardy Spaces ◽  
Maximal Operators ◽  
Almost Everywhere Convergence ◽  
Varying Parameters ◽  
Almost Everywhere ◽  
Logarithmic Means

It is proved that the maximal operators of subsequences of N?rlund logarithmic means and Ces?ro means with varying parameters of Walsh-Fourier series is bounded from the dyadic Hardy spaces Hp to Lp. This implies an almost everywhere convergence for the subsequences of the summability means.

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