Geodesic
The haar system as an unconditional basis in $L_p[0, 1]$
Matematičeskie zametki, Tome 15 (1974) no. 2, pp. 191-196 Cet article a éte moissonné depuis la source Math-Net.Ru

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We give a short proof of the known Paley–Marcinkiewicz theorem: the Haar system is an unconditional basis in $L_p$ ($p>1$). The method of proof consists in a simplification for the Haar system of the method applied in R. Gundy's and other authors' papers for similar problems of the general theory of martingales. 
@article{MZM_1974_15_2_a1,
     author = {V. F. Gaposhkin},
     title = {The haar system as an unconditional basis in $L_p[0, 1]$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {191--196},
     year = {1974},
     volume = {15},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_2_a1/}
}
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V. F. Gaposhkin. The haar system as an unconditional basis in $L_p[0, 1]$. Matematičeskie zametki, Tome 15 (1974) no. 2, pp. 191-196. http://geodesic.mathdoc.fr/item/MZM_1974_15_2_a1/