Geodesic
Note on Besicovitch's Theorem on the Possible Values of Upper and Lower Derivatives
Matematičeskie zametki, Tome 93 (2013) no. 2, pp. 246-251

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Let $B_1,\dots,B_k$ be Busemann–Feller and regular differential bases composed of intervals of the corresponding dimensions. It is proved that if $B_1,\dots,B_k$ satisfy a certain condition (called the completeness condition), then, for their Cartesian product $B_1\times \dotsb\times B_k$, an analog of Besicovitch's theorem on the possible values of strong upper and lower derivatives is valid.
Keywords: Besicovitch's theorem on the values of upper and lower derivatives, Busemann–Feller basis, regular differentiation basis. 
G. G. Oniani. Note on Besicovitch's Theorem on the Possible Values of Upper and Lower Derivatives. Matematičeskie zametki, Tome 93 (2013) no. 2, pp. 246-251. http://geodesic.mathdoc.fr/item/MZM_2013_93_2_a8/
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