Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 27, No. 2, pp. 245-256 (2011)

The maximal operators of logarithmic means of one-dimensional Vilenkin-Fourier series

George Tephnadze

Tbilisi State University

Abstract: The main aim of this paper is to investigate (H_{p},L_{p})-type inequalities for maximal operators of logarithmic means of one-dimensional bounded Vilenkin-Fourier series.

Keywords: Vilenkin system, Logarithmic means, martingale Hardy space

Classification (MSC2000): 42C10

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