Dzagnidze, O.; Oniani, G. On one analogue of Lebesgue theorem on the differentiation of indefinite integral for functions of several variables. (English) Zbl 1054.26501 Proc. A. Razmadze Math. Inst. 133, 1-5 (2003). 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. Cited in 1 Document MSC: 26B05 Continuity and differentiation questions 26B30 Absolutely continuous real functions of several variables, functions of bounded variation Keywords:differentiability; indefinite integral; strong gradient PDF BibTeX XML Cite \textit{O. Dzagnidze} and \textit{G. Oniani}, Proc. A. Razmadze Math. Inst. 133, 1--5 (2003; Zbl 1054.26501)