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A change of variables formula
for mappings in $\mathbf {BV}$

Authors: Rustum Choksi and Irene Fonseca
Journal: Proc. Amer. Math. Soc. 125 (1997), 2065-2072
MSC (1991): Primary 26B10, 26B30, 49Q20
MathSciNet review: 1376753
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Abstract: A change of variables formula for mappings in $BV$ is obtained, where the usual jacobian is replaced by the determinant of the approximate differential.

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Additional Information

Rustum Choksi
Affiliation: Courant Institute, New York University, New York, New York 10012

Irene Fonseca
Affiliation: Department of Mathematics, Carnegie-Mellon University, Pittsburgh, Pennsylvania 15213

Keywords: Functions of bounded variation, maximal function, approximate differential
Received by editor(s): December 1, 1995
Received by editor(s) in revised form: January 30, 1996
Communicated by: Jeffrey B. Rauch
Article copyright: © Copyright 1997 American Mathematical Society

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