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  • Marek Cúth (a1), Ondřej F. K. Kalenda (a2) and Petr Kaplický (a3)

Let $E$ be a finite-dimensional normed space and $\unicode[STIX]{x1D6FA}$ a non-empty convex open set in $E$ . We show that the Lipschitz-free space of $\unicode[STIX]{x1D6FA}$ is canonically isometric to the quotient of $L^{1}(\unicode[STIX]{x1D6FA},E)$ by the subspace consisting of vector fields with zero divergence in the sense of distributions on $E$ .

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  • ISSN: 0025-5793
  • EISSN: 2041-7942
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