Geodesic
The space BMO and strong means of Fourier--Walsh series
Sbornik. Mathematics, Tome 74 (1993) no. 1, pp. 203-218

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This article is devoted to series in the Walsh–Paley system. In particular, for an integrable function a condition is obtained for $p$-strong summability of the Fourier–Walsh series a.e. on $[0,1]$ along with a uniform analogue for a continuous, function on $[0,1]$. 
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     author = {V. A. Rodin},
     title = {The space {BMO} and strong means of {Fourier--Walsh} series},
     journal = {Sbornik. Mathematics},
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     volume = {74},
     number = {1},
     year = {1993},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1993_74_1_a14/}
}
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V. A. Rodin. The space BMO and strong means of Fourier--Walsh series. Sbornik. Mathematics, Tome 74 (1993) no. 1, pp. 203-218. http://geodesic.mathdoc.fr/item/SM_1993_74_1_a14/