4 problems

Schneider's conjecture. For $f_1,\ldots,f_n\in\operatorname{Conv}(\Omega)$, the mixed Hessian measure satisfies

Intermediate-regime tightness conjecture. The intermediate regime in Theorem 1 is tight. Furthermore, the corresponding worst-case function is bivariate.

Let $n\geq 2$. A convex function is a function whose restriction to every line segment in its domain is convex. Write $B^n(0,1)$ for the open unit ball in $\mathbb R^n$, and let…

Let $\mathcal{C}^0_H$ be the class of functions in $\mathcal{S}^0_H$ whose image of the unit disk is convex, and let $\mathcal{C}$ be the analytic class of normalized univalent fun…