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Isometric representation of Lipschitz-free spaces over convex domains in finite-dimensional spaces
Type of publication: Article
Citation:
Publication status: Published
Journal: Mathematika
Volume: 63
Year: 2017
Month: February
Pages: 538–552
URL: http://dx.doi.org/10.1112/S002...
DOI: 10.1112/S0025579317000031
Abstract: Let $E$ be a finite-dimensional normed space and $\Omega$ a nonempty convex open set in $E$. We show that the Lipschitz-free space of $\Omega$ is canonically isometric to the quotient of $L^1(\Omega,E)$ by the subspace consisting of vector fields with zero divergence in the sense of distributions on $E$.
Preprint year: 2016
Keywords:
Authors Cúth, Marek
Kalenda, Ondřej
Kaplický, Petr
Added by: [mc]
Total mark: 0
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