marcinkiewicz means
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The Walsh–Kaczmarz–Marcinkiewicz means and Hardy spaces

2016 ◽  
Vol 149 (2) ◽  
pp. 346-374 ◽  
Author(s):  
K. Nagy ◽  
G. Tephnadze
Keyword(s):  
Hardy Spaces ◽  
Marcinkiewicz Means

Almost everywhere strong summability of Marcinkiewicz means of double Walsh-Fourier series

2014 ◽  
Vol 40 (4) ◽  
pp. 243-266 ◽  
Author(s):  
György Gát ◽  
Ushangi Goginava ◽  
Grigori Karagulyan
Keyword(s):  
Fourier Series ◽  
Strong Summability ◽  
Almost Everywhere ◽  
Marcinkiewicz Means

scholarly journals Approximation by Walsh–Marcinkiewicz means on the Hardy space $H_{2/3}$

2014 ◽  
Vol 54 (3) ◽  
pp. 641-652
Author(s):  
Károly Nagy ◽  
George Tephnadze
Keyword(s):  
Hardy Space ◽  
Marcinkiewicz Means

Walsh-Marcinkiewicz means and Hardy spaces

2014 ◽  
Vol 12 (8) ◽  
Author(s):  
Károly Nagy ◽  
George Tephnadze
Keyword(s):  
Hardy Space ◽  
Strong Convergence ◽  
Hardy Spaces ◽  
Convergence Theorem ◽  
Maximal Operator ◽  
Strong Convergence Theorem ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Marcinkiewicz Means ◽  
Necessary And Sufficient

AbstractThe main aim of this paper is to investigate the Walsh-Marcinkiewicz means on the Hardy space H p, when 0 < p < 2/3. We define a weighted maximal operator of Walsh-Marcinkiewicz means and establish some of its properties. With its aid we provide a necessary and sufficient condition for convergence of the Walsh-Marcinkiewicz means in terms of modulus of continuity on the Hardy space H p, and prove a strong convergence theorem for the Walsh-Marcinkiewicz means.

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