2 problems

Let ${\mathbb D}$ be the unit disk, let $f$ be a harmonic mapping in ${\mathbb D}$, and let $\|S_f\|$ denote its Schwarzian norm. A mapping $f$ admits a homeomorphic extension to…

Let ${\mathbb D}$ be the unit disk, let $\sigma_H({\mathbb D})$ denote the harmonic univalence threshold of ${\mathbb D}$, and write $\|\cdot\|$ for the Schwarzian norm on…