On the Shape Fields Finiteness Principle
Fushuai Jiang, Garving K. Luli, Kevin O’Neill · International Mathematics Research Notices · 2021
Abstract In this paper, we improve the finiteness constant for the finiteness principles for $C^m({\mathbb{R}}^n,{\mathbb{R}}^D)$ and $C^{m-1,1}({\mathbb{R}}^n,{\mathbb{R}}^D)$ selection proven in [ 19] and extend the more general shape fields finiteness principle to the vector-valued case.