Geodesic
On the Convergence of Franklin Series to~$+\infty$
Matematičeskie zametki, Tome 106 (2019) no. 3, pp. 341-349

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that the partial sums of a series in the Franklin system with numbers $2^{\mu}$, $\mu\in \mathbb{N}$, cannot approach $+\infty$ on a set of positive measure. In particular, a Franklin series cannot converge to $+\infty$ on a set of positive measure.
Keywords: Franklin system, Franklin series, convergence to $+\infty$. 
@article{MZM_2019_106_3_a2,
     author = {G. G. Gevorkyan},
     title = {On the {Convergence} of {Franklin} {Series} to~$+\infty$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {341--349},
     publisher = {mathdoc},
     volume = {106},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_106_3_a2/}
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G. G. Gevorkyan. On the Convergence of Franklin Series to~$+\infty$. Matematičeskie zametki, Tome 106 (2019) no. 3, pp. 341-349. http://geodesic.mathdoc.fr/item/MZM_2019_106_3_a2/