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math.CV2018
A characterization of orthogonal convergence in simply connected domains
Filippo Bracci, Manuel D. Contreras, Santiago Díaz-Madrigal +1
Let be the unit disc in and let be a Riemann map, . We give a necessary and sufficient condition in terms of hyp…
math.CV2018
On the Königs function of semigroups of holomorphic self-maps of the unit disc
Filippo Bracci, Manuel D. Contreras, Santiago Díaz-Madrigal
Let be a semigroup of holomorphic self-maps of~. In this note, we use an abstract approach to define the Königs function of and "holomorphic models" and…
math.CV2018
Backward orbits and petals of semigroups of holomorphic self-maps of the unit disc
Filippo Bracci, Manuel D. Contreras, Santiago Díaz-Madrigal +1
We study the backward invariant set of one-parameter semigroups of holomorphic self-maps of the unit disc. Such a set is foliated in maximal invariant curves and its open connected…