16 citations · 50 across the 29 of their papers we have counts for
3 papers · 1 filter
Centralizers of non-elliptic univalent self-maps and the embeddability problem in the unit disc
Manuel D. Contreras, Santiago Díaz-Madrigal, Pavel Gumenyuk
The embeddability problem is a very old and hard problem in discrete holomorphic iteration which deals with determining general conditions on a given univalent self-map of the…
A note on composition operators on model spaces
Isabelle Chalendar, Pavel Gumenyuk, John E. McCarthy
Motivated by the study of composition operators on model spaces launched by Mashreghi and Shabankha we consider the following problem: for a given inner function $ϕ\not\in\mathsf{A…
The angular derivative problem for petals of one-parameter semigroups in the unit disk
Pavel Gumenyuk, Maria Kourou, Oliver Roth
We study the angular derivative problem for petals of one-parameter semigroups of holomorphic self-maps of the unit disk. For hyperbolic petals we prove a necessary and sufficient…