Fejér Means of Fourier Series. Uniqueness of the Fourier Series.

2017 ◽  
pp. 27-31
Author(s):  
Valery Serov
Keyword(s):  
Fourier Series ◽  
Fejér Means

The maximal operator of the Marcinkiewicz-Fejér means of the 2-dimensional Vilenkin-Fourier series

2008 ◽  
Vol 45 (3) ◽  
pp. 321-331
Author(s):  
István Blahota ◽  
Ushangi Goginava
Keyword(s):  
Fourier Series ◽  
Hardy Space ◽  
Maximal Operator ◽  
Fejér Means

In this paper we prove that the maximal operator of the Marcinkiewicz-Fejér means of the 2-dimensional Vilenkin-Fourier series is not bounded from the Hardy space H2/3 ( G2 ) to the space L2/3 ( G2 ).

Fejér means for multivariate Fourier series

1996 ◽  
Vol 221 (3) ◽  
pp. 449-465 ◽  
Author(s):  
Hubert Berens ◽  
Yuan Xu
Keyword(s):  
Fourier Series ◽  
Fejér Means
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