an:02063659
Zbl 1054.26501
Dzagnidze, O.; Oniani, G.
On one analogue of Lebesgue theorem on the differentiation of indefinite integral for functions of several variables
EN
Proc. A. Razmadze Math. Inst. 133, 1-5 (2003).
00100673
2003
j
26B05 26B30
differentiability; indefinite integral; strong gradient
Summary: It is proved that an indefinite \(n\)-tuple integral of a summable function on the unit \(n\)-dimensional cube is differentiable almost everywhere, moreover, it has a strong gradient almost everywhere.