Absolutely continuous functions of several variables and diffeomorphisms View Full Text


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Article Info

DATE

2003-12

AUTHORS

Stanislav Hencl, Jan Malý

ABSTRACT

In [4], a class of absolutely continuous functions of d-variables, motivated by applications to change of variables in an integral, has been introduced. The main result of this paper states that absolutely continuous functions in the sense of [4] are not stable under diffeomorphisms. We also show an example of a function which is absolutely continuous with respect cubes but not with respect to balls. More... »

PAGES

690-705

Identifiers

URI

http://scigraph.springernature.com/pub.10.2478/bf02475188

DOI

http://dx.doi.org/10.2478/bf02475188

DIMENSIONS

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