Geodesic
Quasiuniversal Fourier--Walsh Series for the Classes~$L^p[0,1]$, $p>1$
Matematičeskie zametki, Tome 104 (2018) no. 2, pp. 273-288

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It is proved that, for each number $p>1$, there exists a function $L^1[0,1]$ whose Fourier–Walsh series is quasiuniversal with respect to subseries-signs in the class $L^p[0,1]$ in the sense of $L^p$-convergence.
Keywords: universal series, Walsh system
Mots-clés : Fourier coefficients, $L^p$-convergence. 
@article{MZM_2018_104_2_a10,
     author = {A. A. Sargsyan},
     title = {Quasiuniversal {Fourier--Walsh} {Series} for the {Classes~}$L^p[0,1]$, $p>1$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {273--288},
     publisher = {mathdoc},
     volume = {104},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_2_a10/}
}
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A. A. Sargsyan. Quasiuniversal Fourier--Walsh Series for the Classes~$L^p[0,1]$, $p>1$. Matematičeskie zametki, Tome 104 (2018) no. 2, pp. 273-288. http://geodesic.mathdoc.fr/item/MZM_2018_104_2_a10/