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Absolutely continuous functions of several variables and diffeomorphisms

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Hencl S., Malý J.

Open Mathematics

2003

tom 1

nr 4

690-705

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.

Ograniczanie wyników

1 Open Mathematics

1 Hencl S.

1 Malý J.

1 2003

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Absolutely continuous functions of several variables and diffeomorphisms