It has been an open problem for about 10 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.
Slope Problem for Trajectories of Holomorphic Semigroups in the Unit Disk
Gumenyuk P.
2015-01-01
Abstract
It has been an open problem for about 10 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.File in questo prodotto:
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