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arxiv: 1410.7636 · v1 · pith:DQLGICM3new · submitted 2014-10-05 · 🧮 math.CA · math.FA

Strong convergence theorems of Walsh-Fej\'er means

classification 🧮 math.CA math.FA
keywords meansboundedconvergenceleftmainoperatorsproveresult
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As main result we prove that Fej\'er means of Walsh-Fourier series are uniformly bounded operators from $\ H_{p}$ to $H_{p}$ $\left( 0<p\leq 1/2\right) .

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