Necessary and sufficient conditions for the chain rule in and

  • Giovanni Leoni

    Carnegie-Mellon University, Pittsburgh, USA
  • Massimiliano Morini

    Carnegie Mellon University, Pittsburgh, United States

Abstract

In this paper we prove necessary and sufficient conditions for the validity of the classical chain rule in Sobolev spaces and in the space of functions of bounded variation.

Cite this article

Giovanni Leoni, Massimiliano Morini, Necessary and sufficient conditions for the chain rule in and . J. Eur. Math. Soc. 9 (2007), no. 2, pp. 219–252

DOI 10.4171/JEMS/78