Zero subsets, representation of meromorphic functions, and Nevanlinna characteristics in a disc

Let $\Lambda=\{\lambda_k\}$ be a point sequence in the unit disc $\mathbb D$ and $N_\Lambda(r)$ the Nevanlinna characteristic of the sequence $\Lambda$, $0<r<1$. In terms of the Nevanlinna characteristic $N_\Lambda(r)$ one finds estimates for the slowest possible growth of the characteristic $B(r,|f|)=\max\{|f(z)|:|z|=r\}$ as $r\to1-0$ in the class of holomorphic functions $f\not\equiv0$ in $\mathbb D$ vanishing on $\Lambda$.
Let $F$ be a meromorphic function in $\mathbb D$. In terms of the Nevanlinna characteristic function $T(r,F)$ of $F$ one finds estimates for the slowest possible growth of the characteristics $B(r,|g|)$ and $B(r,|h|)$ in the class of pairs of holomorphic functions $g$ and $h$ such that $F=g/h$.
Bibliography: 21 titles.