Absolutely continuous functions in R-n

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For each 0 < α <1 we consider a natural n-dimensional extension of the classical notion of absolute continuous function. We compare it with the Malý’s and Hencl’s definitions. It follows that each α-absolute continuous function is continuous, weak differentiable with gradient in L^n, differentiable almost everywhere and satisfies the formula on change of variables.
Lingua originaleEnglish
pagine (da-a)119-134
Numero di pagine16
RivistaJournal of Mathematical Analysis and Applications
Stato di pubblicazionePublished - 2005

All Science Journal Classification (ASJC) codes

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