Geodesic
Maximal operators of Fejér means of double Vilenkin–Fourier series
István Blahota1 ; György Gát1 ; Ushangi Goginava2
1 Institute of Mathematics and Computer Science College of Nyíregyháza P.O. Box 166 Nyíregyháza, H-4400 Hungary
2 Department of Mechanics and Mathematics Tbilisi State University Chavvadze Str. 1 Tbilisi 0128, Georgia
Colloquium Mathematicum, Tome 107 (2007) no. 2, pp. 287-296 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The main aim of this paper is to prove that the maximal operator $\sigma _{0}^{*}:=\sup_{n}| \sigma _{n,n}| $ of the Fejér means of the double Vilenkin–Fourier series is not bounded from the Hardy space $% H_{1/2}$ to the space weak-$L_{1/2}$.
DOI : 10.4064/cm107-2-8
Keywords: main paper prove maximal operator sigma * sup sigma fej means double vilenkin fourier series bounded hardy space space weak l

István Blahota 1 ; György Gát 1 ; Ushangi Goginava 2

1 Institute of Mathematics and Computer Science College of Nyíregyháza P.O. Box 166 Nyíregyháza, H-4400 Hungary
2 Department of Mechanics and Mathematics Tbilisi State University Chavvadze Str. 1 Tbilisi 0128, Georgia 
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     title = {Maximal operators of {Fej\'er} means of
 double {Vilenkin{\textendash}Fourier} series},
     journal = {Colloquium Mathematicum},
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István Blahota; György Gát; Ushangi Goginava. Maximal operators of Fejér means of
 double Vilenkin–Fourier series. Colloquium Mathematicum, Tome 107 (2007) no. 2, pp. 287-296. doi: 10.4064/cm107-2-8

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