We introduce the notion of α, λ-absolute continuity for functions of several variablesand we compare it with the Hencl’s definition. We obtain that each α,λ-absolutelycontinuous function is n, λ-absolutely continuous in the sense of Hencl and hence iscontinuous, differentiable almost everywhere and satisfies change of variables resultsbased on a coarea formula and an area formula.
|Journal||Rendiconti del Circolo Matematico di Palermo|
|Publication status||Published - 2006|
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