Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Research Article

Rank one property for derivatives of functions with bounded variation

Giovanni Albertia1

a1 Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy

Synopsis

In this paper we introduce a new tool in geometric measure theory and then we apply it to study the rank properties of the derivatives of vector functions with bounded variation.

(Received May 28 1991)

(Accepted February 06 1992)