Products of functions with bounded ${\mathrm{Hess}}^{+}$ complement

Andi Brojbeanu, Cornel Pintea

We denote by ${\mathrm{Hess}}^{+}$ the set of all points $p\in {\mathbb{R}}^n$ such that the Hessian matrix $H_p(f)$ of the $C^2$-smooth function $f:{\mathbb{R}}^n⟶\mathbb{R}$ is…