Geodesic
On differentiation of integrals with respect to bases of convex sets.
Studia Mathematica, Tome 119 (1996) no. 2, pp. 99-108 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Differentiation of integrals of functions from the class $Lip(1,1)(I^2)$ with respect to the basis of convex sets is established. An estimate of the rate of differentiation is given. It is also shown that there exist functions in $Lip(1,1)(I^N)$, N ≥ 3, and $H^{ω}_{1}(I^2)$ with ω(δ)/δ → ∞ as δ → +0 whose integrals are not differentiated with respect to the bases of convex sets in the corresponding dimension. 
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     author = {A. M. Stokolos},
     title = {On differentiation of integrals with respect to bases of convex sets.},
     journal = {Studia Mathematica},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-119-2-99-108/}
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A. M. Stokolos. On differentiation of integrals with respect to bases of convex sets.. Studia Mathematica, Tome 119 (1996) no. 2, pp. 99-108. doi: 10.4064/sm-119-2-99-108

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