On the maximal operators of Vilenkin-Fejéer means

Authors : George TEPHNADZE

Pages : 308-318

Doi:10.3906/mat-1010-438

View : 12 | Download : 8

Publication Date : 0000-00-00

Article Type : Research Paper

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 insert ignore into journalissuearticles values(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.
Keywords : Vilenkin system, Fejéer means, martingale Hardy space