paper

Strong convergence theorems of Walsh-Fejér means

arXiv:1410.7636 · doi:10.1007/s10474-013-0361-5

Abstract

As main result we prove that Fejér means of Walsh-Fourier series are uniformly bounded operators from to $\left( 0<p\leq 1/2\right) .

Walsh system, Fejér means, martingale Hardy space, strong convergence, Acta Mathematica Hungarica, 2014