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Maximal operators of Fejér means of double Vilenkin-Fourier series

István Blahota; György Gát; Ushangi Goginava — 2007

Colloquium Mathematicae

The main aim of this paper is to prove that the maximal operator $σ ₀ * : = s u p ₙ | σ_{n, n} |$ of the Fejér means of the double Vilenkin-Fourier series is not bounded from the Hardy space $H_{1 / 2}$ to the space weak- $L_{1 / 2}$ .

On the Fejér kernel functions with respect to the Walsh-Kaczmarz system.

Gát, György — 2001

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

Maximal operators of Fejér means of Vilenkin-Fourier series.

Blahota, István; Gát, György; Goginava, Ushangi — 2006

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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