Annali di Matematica Pura ed Applicata

, Volume 135, Issue 1, pp 293–318

Pairings between measures and bounded functions and compensated compactness

  • Gabriele Anzellotti

DOI: 10.1007/BF01781073

Cite this article as:
Anzellotti, G. Annali di Matematica pura ed applicata (1983) 135: 293. doi:10.1007/BF01781073


For all vectorfields ψ ε L(Ω,Rn) whose divergence is in Ln(Ω) and for all vector measures Μ in Ω whose curl is a measure we define a real valued measure (ψ, Μ) in Ω, that can be considered a suitable generalization of the scalar product of ψ and Μ. Several properties of the pairing (ψ, Μ) are then obtained.

Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1983

Authors and Affiliations

  • Gabriele Anzellotti
    • 1
  1. 1.Povo, Trento

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