3 problems

Let $U$ and $R$ be domains in the setting of Theorem, let $z$ be the specified starting point, and write $\tau_U$, $\tau_R$, $\tau_{U^+}$, and $\tau_{R^+}$ for the corresponding fi…

Polynomial tail conjecture. For every $p>{\rm H}(W)$, there exists a constant $C>0$ such that

Let ${\cal S}$ be the class of normalized univalent functions on the unit disk, let ${\cal K}$ denote the Koebe functions, and let $K$ be the Koebe function. For $f\in {\cal S}$, w…