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Rank one property for derivatives of functions with bounded variation

Published online by Cambridge University Press:  14 November 2011

Giovanni Alberti
Giovanni Alberti
Affiliation:
Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy
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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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 123 , Issue 2 , 1993 , pp. 239 - 274
Copyright
Copyright © Royal Society of Edinburgh 1993

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