Level sets of the Hyperbolic Derivative for analytic self-maps of the unit disk

Juan Arango, Hugo Arbeláez, Diego Mejía

Let the function $\phi$ be holomorphic in the unit disk $\mathbb{D}$ of the complex plane $\mathbb{C}$ and let $\phi (\mathbb{D})\subset \mathbb{D}$. We study the level sets and the criti…