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Triangular Fejér Summability of Two-Dimensional Walsh-Fourier series

Published 29 Sep 2013 in math.AP | (1309.7548v1)

Abstract: It is proved that the operators $\sigma_{n}{\bigtriangleup}$ of the triangular-Fej{\'e}r-means of a two-dimensional Walsh--Fourier series are uniformly bounded from the dyadic Hardy space $H_{p}$ to $L_{p}$ for all $% 4/5<p\leq \infty $.

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