Geodesic
Convergence of multiple Vilenkin--Fourier series in Lorentz spaces
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 7 (2007) no. 1, pp. 15-22.

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Let $\Lambda_{\psi,p}[0,1)^d$ be a near to $L^\infty[0,1)^d$ Lorentz space. We find the function $\tilde\psi$ for which the multiple Vilenkin–Fourier of any $f\in\Lambda_{\psi,p}[0,1)^d$ converge to $f$ in the norm of Lorentz space $\Lambda_{\bar\psi,p}[0,1)^d$. 
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O. A. Lukyanenko. Convergence of multiple Vilenkin--Fourier series in Lorentz spaces. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 7 (2007) no. 1, pp. 15-22. http://geodesic.mathdoc.fr/item/ISU_2007_7_1_a3/

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