2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/209215The purpose of this note is to show that the set functions defined in \cite{trong-tuyen} can be suitably extended to all subsets $E$ of the unit disk $\mathbb{D}$. In particular we obtain uniform nearly-optimal estimates for the following quantity D_p(E,ε, R) = \sup \{\sup_{|z| \leq R}|g(z)|: g\in H^p, ||g||_{H^p}\leq 1, (1-|ζ|)|g(ζ)| \leq ε\forall ζ\in E\}.3 pagesComplex Variables30D15, 31A15, 44A10, 65F22text