On the maximal operators of Vilenkin-Fejéer means

Authors

GEORGE TEPHNADZE

DOI

10.3906/mat-1010-438

Abstract

The main aim of this paper is to prove that the maximal operator \overset{\sim}{\sigma}^{\ast}f:=\underset{n \in P} \sup\frac{ \sigma _nf }{\log^2 (n+1)} is bounded from the Hardy space H_{1/2} to the space L_{1/2}, where \sigma _nf are Fejér means of bounded Vilenkin-Fourier series.

Keywords

Vilenkin system, Fejéer means, martingale Hardy space

First Page

308

Last Page

318

Recommended Citation

TEPHNADZE, GEORGE (2013) "On the maximal operators of Vilenkin-Fejéer means," Turkish Journal of Mathematics: Vol. 37: No. 2, Article 12. https://doi.org/10.3906/mat-1010-438
Available at: https://journals.tubitak.gov.tr/math/vol37/iss2/12