2 papers
math.CV2022
Geometric Versions of Schwarz's Lemma for Spherically Convex Functions
Maria Kourou, Oliver Roth
We prove several sharp distortion and monotonicity theorems for spherically convex functions defined on the unit disk involving geometric quantities such as spherical length, spher…
math.CV2020
On the spectral value of Semigroups of Holomorphic Functions
Maria Kourou
Let be a semigroup of holomorphic self-maps of the unit disk with Denjoy-Wolff point . The angular derivative is , wh…