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. 
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     title = {On the {Convergence} of {Series} in {Spaces} of {Integrable} {Functions}},
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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/

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