New Inequalities for the Jacobian

L. Greco, T. Iwaniec

Research output: Contribution to journalArticlepeer-review

34 Scopus citations


We derive integral estimates for the Jacobian by using the Rochberg-Weiss theory of nonlinear commutators. A refinement of Müller's result is obtained. We demonstrate how local estimates can be used to improve the degree of integrability of the Jacobian.

Original languageEnglish (US)
Pages (from-to)17-35
Number of pages19
JournalAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Issue number1
StatePublished - Jan 1 1994


  • Jacobian
  • Nonlinear Commutators
  • Singular Integrals

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Applied Mathematics


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