scholarly journals On the maximal operators of Vilenkin-Fejér means on Hardy spaces

2013 ◽  
pp. 301-312
Author(s):  
George Tephnadze
Keyword(s):  
Hardy Spaces ◽  
Maximal Operators ◽  
Fejér Means

Modulus of continuity and convergence of subsequences of Vilenkin–Fejér means in martingale Hardy spaces

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Giorgi Tutberidze
Keyword(s):  
Hardy Space ◽  
Modulus Of Continuity ◽  
Hardy Spaces ◽  
Lebesgue Space ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Fejér Means ◽  
Necessary And Sufficient

Abstract In this paper, we find a necessary and sufficient condition for the modulus of continuity for which subsequences of Fejér means with respect to Vilenkin systems are bounded from the Hardy space H p {H_{p}} to the Lebesgue space L p {L_{p}} for all 0 < p < 1 2 {0<p<\frac{1}{2}} .

scholarly journals On the boundedness of subsequences of Vilenkin-Fejér means on the martingale Hardy spaces

2020 ◽  
pp. 283-294
Author(s):  
Lars-Erik Persson ◽  
George Tephnadze ◽  
Georgi Tutberidze
Keyword(s):  
Hardy Spaces ◽  
Fejér Means

Maximal Operators and Characterization of Hardy Spaces

2020 ◽  
Vol 46 (1) ◽  
pp. 119-131 ◽  
Author(s):  
N. Memić ◽  
S. Sadiković
Keyword(s):  
Hardy Spaces ◽  
Maximal Operators

scholarly journals A note on the norm convergence by Vilenkin–Fejér means

2014 ◽  
Vol 21 (4) ◽  
Author(s):  
George Tephnadze
Keyword(s):  
Modulus Of Continuity ◽  
Hardy Spaces ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Norm Convergence ◽  
Fejér Means ◽  
Necessary And Sufficient

AbstractThe main aim of this paper is to find necessary and sufficient conditions for the convergence of Fejér means in terms of the modulus of continuity on the Hardy spaces

scholarly journals Maximal operators of Fejér means of double Vilenkin–Fourier series

2007 ◽  
Vol 107 (2) ◽  
pp. 287-296 ◽  
Author(s):  
István Blahota ◽  
György Gát ◽  
Ushangi Goginava
Keyword(s):  
Fourier Series ◽  
Maximal Operators ◽  
Fejér Means
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