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RESEARCH PRODUCT

Absolutely continuous functions and differentiability in Rn

Donatella Bongiorno

subject

Pure mathematicsApplied MathematicsMathematical analysisAlmost everywhereDifferentiable functionAbsolute continuityAnalysisMathematics

description

Abstract We relativize the notion of absolute continuity of functions in R n , due to Rado, Reichelderfer and Malý, to subsets of R n and use it to characterize functions (possibly vector valued) differentiable almost everywhere.

10.1016/s0022-247x(02)00201-9http://dx.doi.org/10.1016/S0022-247X(02)00201-9