JournalsjemsVol. 21, No. 10pp. 3255–3258

An elementary proof of the rank-one theorem for BV functions

  • Annalisa Massaccesi

    Università di Verona, Italy

  • Davide Vittone

    Università di Padova, Italy
An elementary proof of the rank-one theorem for BV functions cover

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Abstract

We provide a simple proof of a result, due to G. Alberti, concerning a rank-one property for the singular part of the derivative of vector-valued functions of bounded variation.

Cite this article

Annalisa Massaccesi, Davide Vittone, An elementary proof of the rank-one theorem for BV functions. J. Eur. Math. Soc. 21 (2019), no. 10, pp. 3255–3258

DOI 10.4171/JEMS/903