Geodesic
Concerning the possible values of upper and lower derivatives
Matematičeskie zametki, Tome 64 (1998) no. 1, pp. 107-114 
G. G. Oniani. Concerning the possible values of upper and lower derivatives. Matematičeskie zametki, Tome 64 (1998) no. 1, pp. 107-114. http://geodesic.mathdoc.fr/item/MZM_1998_64_1_a10/
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     author = {G. G. Oniani},
     title = {Concerning the possible values of upper and lower derivatives},
     journal = {Matemati\v{c}eskie zametki},
     pages = {107--114},
     year = {1998},
     volume = {64},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_64_1_a10/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, the behavior of the upper and lower derivatives of integrals with respect to differential bases formed from intervals is studied. The main result consists in proving the fact that there are, in general, no analogs of the well-known Besicovitch theorem for translation-invariant Busemann-Feller bases formed from intervals.

[1] Besicovitch A. S., “On differentiation of Lebesgue double integrals”, Fund. Math., 25 (1935), 209–216 | Zbl

[2] Gusman M., Differentsirovanie integralov v $\mathbb R^n$, Mir, M., 1978