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 | |
| Added by: | [mc] |
| Total mark: | 0 |
|
Attachments
|
|
|
Notes
|
|
|
|
|
|
Topics
|
|
|
|
