2 problems

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…

Let $\mathcal{S}^0_H$ be the class of normalized sense-preserving univalent harmonic mappings $f=h+\overline{g}$ in the unit disk with $f_{\overline z}(0)=0$. Let $\mathcal{S}$ be…