A remark on absolutely continuous functions in ℝ
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Authors: | Cristina di Bari Calogero Vetro |
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Institution: | 1. Dipartimento di Matematica ed Applicazioni, Università degli Studi di Palermo, Via Archirafi, 34, 90123, Palermo, Italy
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Abstract: | 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. |
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