Geodesic
On differentiation of integrals with respect to bases of convex sets.
Studia Mathematica, Tome 119 (1996) no. 2, pp. 99-108

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-119-2-99-108

A. M. Stokolos 1

1 
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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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