Geodesic
On convergence of Fourier--Vilenkin series in $L^p[0,1)$, $0$
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 8 (2008) no. 3, pp. 3-9

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In this paper we study convergence a.e. and $L^p$-convergence ($0$) of Fourier–Vilenkin series under some tauberian conditions on Fourier coefficients of a function. In the case of Fourier–Walsh series these results are obtained by F. Moricz. 
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     author = {S. S. Volosivets},
     title = {On convergence of {Fourier--Vilenkin} series in $L^p[0,1)$, $0<p\le1$},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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S. S. Volosivets. On convergence of Fourier--Vilenkin series in $L^p[0,1)$, $0