We establish necessary and sufficient conditions for the maximal
operator of Walsh–Nörlund means with non-increasing weights to be bounded
from the dyadic Hardy space Hp(I)\documentclass[12pt]{minimal}
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\begin{document}$$H_{p}(\mathbb{I})$$\end{document} to the space Lp(I)\documentclass[12pt]{minimal}
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\begin{document}$$ L_{p}(\mathbb{I})$$\end{document}.