Triangular Fejér Summability of Two-Dimensional Walsh-Fourier series

preprint2013arXivOpen access

Abstract

It is proved that the operators σn△σ_{n}^{\bigtriangleup} of the triangular-Fej{é}r-means of a two-dimensional Walsh--Fourier series are uniformly bounded from the dyadic Hardy space HpH_{p} to LpL_{p} for all % 4/5<p\leq \infty .

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