Journals / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 2
On the maximal operators of Vilenkin-Fejéer means
- Pages
- 308–318
- DOI
- —
Abstract
The main aim of this paper is to prove that the maximal operator \overset{\sim}{s}\astf:=\underset{n \in P} \sup\frac{|s nf|}{\log2 (n+1)} is bounded from the Hardy space H1/2 to the space L1/2, where s nf are Fejér means of bounded Vilenkin-Fourier series.
Özet
The main aim of this paper is to prove that the maximal operator \overset{\sim}{s}\astf:=\underset{n \in P} \sup\frac{|s nf|}{\log2 (n+1)} is bounded from the Hardy space H1/2 to the space L1/2, where s nf are Fejér means of bounded Vilenkin-Fourier series.