Maximal operators of Fejér means of double Vilenkin-Fourier series

István Blahota, György Gát, and Ushangi Goginava. "Maximal operators of Fejér means of double Vilenkin-Fourier series." Colloquium Mathematicae 107.2 (2007): 287-296. <http://eudml.org/doc/283511>.

@article{IstvánBlahota2007,
abstract = {The main aim of this paper is to prove that the maximal operator $σ₀*: = supₙ|σ_\{n,n\}|$ of the Fejér means of the double Vilenkin-Fourier series is not bounded from the Hardy space $H_\{1/2\}$ to the space weak-$L_\{1/2\}$.},
author = {István Blahota, György Gát, Ushangi Goginava},
journal = {Colloquium Mathematicae},
keywords = {Vilenkin system; Hardy space; maximal operator},
language = {eng},
number = {2},
pages = {287-296},
title = {Maximal operators of Fejér means of double Vilenkin-Fourier series},
url = {http://eudml.org/doc/283511},
volume = {107},
year = {2007},
}

TY - JOUR
AU - István Blahota
AU - György Gát
AU - Ushangi Goginava
TI - Maximal operators of Fejér means of double Vilenkin-Fourier series
JO - Colloquium Mathematicae
PY - 2007
VL - 107
IS - 2
SP - 287
EP - 296
AB - The main aim of this paper is to prove that the maximal operator $σ₀*: = supₙ|σ_{n,n}|$ of the Fejér means of the double Vilenkin-Fourier series is not bounded from the Hardy space $H_{1/2}$ to the space weak-$L_{1/2}$.
LA - eng
KW - Vilenkin system; Hardy space; maximal operator
UR - http://eudml.org/doc/283511
ER -