Maximal operators of Fejér means of double Vilenkin-Fourier series

István Blahota; György Gát; Ushangi Goginava

István Blahota ; György Gát ; Ushangi Goginava

Colloquium Mathematicae, Tome 107 (2007), p. 287-296 / Harvested from The Polish Digital Mathematics Library

Résumé

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- $L_{1 / 2}$ .

Publié le : 2007-01-01

Zbl 1117.42006

EUDML-ID : urn:eudml:doc:283511

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     author = {Istv\'an Blahota and Gy\"orgy G\'at and Ushangi Goginava},
     title = {Maximal operators of Fej\'er means of double Vilenkin-Fourier series},
     journal = {Colloquium Mathematicae},
     volume = {107},
     year = {2007},
     pages = {287-296},
     zbl = {1117.42006},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm107-2-8}
}

István Blahota; György Gát; Ushangi Goginava. Maximal operators of Fejér means of double Vilenkin-Fourier series. Colloquium Mathematicae, Tome 107 (2007) pp. 287-296. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm107-2-8/