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math.CV2023
Complete frequencies for Koenigs domains
Filippo Bracci, Eva A. Gallardo-Gutiérrez, Dmitry Yakubovich
We provide a complete characterization of those non-elliptic semigroups of holomorphic self-maps of the unit disc for which the linear span of eigenvectors of the generator of the…
math.CV2023
The strong form of the Ahlfors-Schwarz lemma at the boundary and a rigidity result for Liouville's equation
Filippo Bracci, Daniela Kraus, Oliver Roth
We prove a boundary version of the strong form of the Ahlfors-Schwarz lemma with optimal error term. This result provides nonlinear extensions of the boundary Schwarz lemma of Burn…