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On the maximal operators of Riesz logarithmic means of Vilenkin-Fourier series. (English) Zbl 1299.42098

Summary: The main aim of this paper is to investigate \((H_p , L_p)\) and \((H_p , L_{p,\infty})\) type inequalities for maximal operators of Riesz logarithmic means of one-dimensional Vilenkin-Fourier series.

MSC:

42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
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