14 citations · 44 across the 24 of their papers we have counts for
4 papers · 1 filter
On the squeezing function for finitely connected planar domains
Pavel Gumenyuk, Oliver Roth
In a recent paper, Ng, Tang and Tsai (Math. Ann. 2020) have found an explicit formula for the squeezing function of an annulus via the Loewner differential equation. Their result h…
Blow--up Solutions of Liouville's Equation and Quasi--Normality
Jürgen Grahl, Daniela Kraus, Oliver Roth
We prove that the family of all meromorphic functions on a domain with the property that the spherical area of the image domain $f(D)…
A new Schwarz-Pick Lemma at the boundary and rigidity of holomorphic maps
Filippo Bracci, Daniela Kraus, Oliver Roth
In this paper we establish several invariant boundary versions of the (infinitesimal) Schwarz-Pick lemma for conformal pseudometrics on the unit disk and for holomorphic selfmaps o…
Semigroup-fication of univalent self-maps of the unit disc
Filippo Bracci, Oliver Roth
Let be a univalent self-map of the unit disc. We introduce a technique, that we call {\sl semigroup-fication}, which allows to construct a continuous semigroup of holom…