On the Extreme Points of the Unit Ball in the Space of Solenoidal Vector Measures on the Plane
Correspondence: Nikolay A. Gusev n.a.gusev@gmail.com
DOI:
https://doi.org/10.5890/DNC.2020.12.005Abstract
We consider the space of finite divergence-free Borel vector measures on~$\mathbb R^d$, endowed with the total variation norm. For $d=2$ we present a characterization of the extreme points of the unit ball in this space. This allows one to decompose (for $d=2$) any finite divergence-free vector measure into measures induced by closed Lipschitz curves. The results are based on a joint work with P. Bonicatto.References
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