A case when convergence in the mean is equivalent to convergence in the Lévy metric
Matematičeskie zametki, Tome 26 (1979) no. 3, pp. 483-491 Cet article a éte moissonné depuis la source Math-Net.Ru

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@article{MZM_1979_26_3_a16,
     author = {V. M. Kruglov},
     title = {A~case when convergence in the mean is equivalent to convergence in the {L\'evy} metric},
     journal = {Matemati\v{c}eskie zametki},
     pages = {483--491},
     year = {1979},
     volume = {26},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1979_26_3_a16/}
}
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V. M. Kruglov. A case when convergence in the mean is equivalent to convergence in the Lévy metric. Matematičeskie zametki, Tome 26 (1979) no. 3, pp. 483-491. http://geodesic.mathdoc.fr/item/MZM_1979_26_3_a16/