The weak type inequality for the maximal operator of the Marcinkiewicz–Fejér means of the two-dimensional Walsh

The weak type inequality for the maximal operator of the Marcinkiewicz–Fejér means of the two-dimensional Walsh–Fourier series

Published:2008-10 Issue:2 Volume:154 Page:161-180
ISSN:0021-9045
Container-title:Journal of Approximation Theory
language:en
Short-container-title:Journal of Approximation Theory

Author:

Goginava Ushangi

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference16 articles.

1. G.H. Agaev, N.Ja. Vilenkin, G.M. Dzhafarli, A.I. Rubinstein, Multiplicative systems of functions and harmonic analysis on 0-dimensional groups, in: Izd.(ELM), Baku, 1981 (in Russian)

2. Cesàro summability of Walsh–Fourier series;Fine;Proc. Nat. Acad. Sci. USA,1955

3. Cesàro summability of Walsh–Fourier series;Fujii;Proc. Amer. Math. Soc.,1979

4. On (C,1) summability of integrable functions with respect to the Walsh–Kaczmarz system;Gát;Studia Math.,1998

5. Convergence of Marcinkiewicz means of integrable functions with respect to two-dimensional Vilenkin system;Gát;Georgian Math. J.,2004

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