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Matematicheskie Zametki, 2014, Volume 95, Issue 6, Pages 836–841
DOI: https://doi.org/10.4213/mzm10358 (Mi mzm10358) 		 
On the Convergence of Series in Spaces of Integrable Functions

I. R. Kayumov

Kazan (Volga Region) Federal University
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DOI: https://doi.org/10.4213/mzm10358
Abstract: 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.
Received: 13.05.2013
Revised: 21.11.2013
English version:
Mathematical Notes, 2014, Volume 95, Issue 6, Pages 780–785
DOI: https://doi.org/10.1134/S0001434614050228
Bibliographic databases:
Document Type: Article
UDC: 517.521
Language: Russian
Citation: I. R. Kayumov, “On the Convergence of Series in Spaces of Integrable Functions”, Mat. Zametki, 95:6 (2014), 836–841; Math. Notes, 95:6 (2014), 780–785
Citation in format AMSBIB
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