Abstract: One of the necessary and sufficient properties, characterizing real valued BV functions of one variable, is the well-known Jordan decomposition: it states that a real valued function of one variable is of bounded variation if and only if it can be written as the difference of two monotone increasing functions. In this seminar it is presented a generalization of this property to real valued BV functions of many variables, extending naturally the concept of monotone functions. This result is an extension of a previous similar result for Lipschitz functions. For vector valued BV functions of many variables a counterexample is given, which prevents further extensions.

Tutti gli interessati sono invitati a partecipare.