Geodesic
Weakened continuity in $\Lambda$-variation and localization of double Cesáro means
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2013), pp. 8-14 
A. N. Bakhvalov. Weakened continuity in $\Lambda$-variation and localization of double Cesáro means. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2013), pp. 8-14. http://geodesic.mathdoc.fr/item/VMUMM_2013_4_a1/
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     title = {Weakened continuity in $\Lambda$-variation and localization of double {Ces\'aro} means},
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Voir la notice de l'article provenant de la source Math-Net.Ru

We study the localization of Cesáro means of negative order with respect to cross neighborhoods for a double Fourier series. We prove a sufficient condition in terms of $\Lambda$-variation of the function which is weaker than the sufficient condition for classic localization obtained recently.

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