Slope problem for trajectories of holomorphic semigroups in the unit disc

Manuel D. Contreras; Pavel Gumenyuk; Santiago Diaz-Madrigal

arxiv: 1406.3614 · v1 · pith:BGR2GVVSnew · submitted 2014-06-13 · 🧮 math.CV · math.DS

Slope problem for trajectories of holomorphic semigroups in the unit disc

Manuel D. Contreras , Santiago Diaz-Madrigal , Pavel Gumenyuk This is my paper

classification 🧮 math.CV math.DS

keywords problemslopetrajectoriesunitanswerbeencommondefinite

0 comments

read the original abstract

It has been an open problem for about ten years whether every trajectory of a parabolic one-parameter semigroup in the unit disk tends to the Denjoy-Wolff point with a definite (and common for all trajectories) slope. In this paper, we give the negative answer to this question.

This paper has not been read by Pith yet.

Slope problem for trajectories of holomorphic semigroups in the unit disc

discussion (0)