Metric products and continuation of isotone functions

O. Dovgoshey, E. Petrov, G. Kozub

Let ${\mathbb{R}}_{+}=[0,\infty )$ and let $A\subseteq {\mathbb{R}}_{+}^n$. We have found the necessary and sufficient conditions under which a function $\Phi :A\to {\mathbb{R}}_{+}$ has an isotone s…