Geodesic
Continuity in $\Lambda$-variations of functions of several variables
Sbornik. Mathematics, Tome 194 (2003) no. 7, pp. 1009-1034 
O. S. Dragoshanskii. Continuity in $\Lambda$-variations of functions of several variables. Sbornik. Mathematics, Tome 194 (2003) no. 7, pp. 1009-1034. http://geodesic.mathdoc.fr/item/SM_2003_194_7_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A test for the coincidence in the multidimensional case of the class of functions of bounded $\Lambda$-variation with the class of functions continuous in $\Lambda$-variation is obtained for a large variety of sequences $\Lambda$ (such that the ratio $\lambda_{2n}/\lambda_n$ has a limit as $n\to\infty$).

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