6533b852fe1ef96bd12ab5e7
RESEARCH PRODUCT
A remark on absolutely continuous functions in ℝ n
Calogero VetroCristina Di Barisubject
Discrete mathematicsChange of variablesContinuous functionGeneral MathematicsAlmost everywhereQuasi-continuous functionCoarea formulaDifferentiable functionAlgebra over a fieldAbsolute continuityMathematicsdescription
We introduce the notion ofα, λ-absolute continuity for functions of several variables and we compare it with the Hencl’s definition. We obtain that eachα, λ-absolutely continuous function isn, λ-absolutely continuous in the sense of Hencl and hence is continuous, differentiable almost everywhere and satisfies change of variables results based on a coarea formula and an area formula.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-06-01 | Rendiconti del Circolo Matematico di Palermo |