Maximal operators of Fejér means of double Vilenkin–Fourier series
Volume 107 / 2007
Colloquium Mathematicum 107 (2007), 287-296
MSC: Primary 42C10.
DOI: 10.4064/cm107-2-8
Abstract
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-$L_{1/2}$.
