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Received: 23 April 2001 / Accepted: 27 September 2001 / Published online: 29 April 2002
After the completion of this work, the author learned that L. Ambrosio has independently given a proof of the main result in this paper.
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Dávila, J. On an open question about functions of bounded variation. Calc Var 15, 519–527 (2002). https://doi.org/10.1007/s005260100135
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DOI: https://doi.org/10.1007/s005260100135