Geodesic
On the Convergence of Series in Spaces of Integrable Functions
Matematičeskie zametki, Tome 95 (2014) no. 6, pp. 836-841

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

A sufficient condition for the convergence of series in the spaces $L_p$ on a set of infinite measure is obtained.
Keywords: convergence of series in $L_p$, $\sigma$-additive measure, Hölder's inequality. 
@article{MZM_2014_95_6_a4,
     author = {I. R. Kayumov},
     title = {On the {Convergence} of {Series} in {Spaces} of {Integrable} {Functions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {836--841},
     publisher = {mathdoc},
     volume = {95},
     number = {6},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_95_6_a4/}
}
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I. R. Kayumov. On the Convergence of Series in Spaces of Integrable Functions. Matematičeskie zametki, Tome 95 (2014) no. 6, pp. 836-841. http://geodesic.mathdoc.fr/item/MZM_2014_95_6_a4/