Geodesic
Analogue of the Hardy–Littlewood criterion for Fourier series over Vilenkin system in the case
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2020), pp. 48-51 
S. M. Voronov. Analogue of the Hardy–Littlewood criterion for Fourier series over Vilenkin system in the case. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2020), pp. 48-51. http://geodesic.mathdoc.fr/item/VMUMM_2020_2_a8/
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     title = {Analogue of the {Hardy{\textendash}Littlewood} criterion for {Fourier} series over {Vilenkin} system in the case},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Series with respect to a system of characters of a zero-dimensional compact commutative group are considered. A generalization of analogue of Hardy–Littlewood test and its consequences, which were earlier obtained in the case of bounded sequence $\{p_k\}$ defining the system, are proved.

[1] Vilenkin N. Ya., “O klasse polnykh ortonormirovannykh sistem”, Izv. AN SSSR. Ser. matem., 11 (1947), 363–400 | Zbl

[2] Agaev G. N., Vilenkin N. Ya., Dzhafarli G. M., Rubinshtein A. I., Multiplikativnye sistemy funktsii i analiz na nulmernykh gruppakh, Elm, Baku, 1981 | MR

[3] Voronov S. M., “O nekotorykh priznakakh skhodimosti ryadov Fure po sisteme Vilenkina v sluchae neogranichennykh $p_k$”, Vestn. Mosk. un-ta. Matem. Mekhan., 2019, no. 5, 42–44