3 problems

The parameter-boundary conjecture. There exists an increasing convex function $f:[2,\infty)\to[3,\infty)$ with $f(2)=3$ such that, for every $\alpha\ge2$,

Let $\psi$ be a non-constant complete Bernstein function such that $\psi(0)=0$, and let $\vartheta_\mu$ be the phase function considered in the preceding lemma, for $\mu>0$. Sharp…

Let $\psi$ be a non-constant complete Bernstein function such that $\psi(0)=0$, and let $\vartheta_\mu$ be the phase function considered in the preceding lemma. If $\psi$ is unboun…