Abstract
In this paper we give some quantitative characteristics of boundary asymptotic behavior of semigroups of holomorphic self-mappings of the unit disk including the limit curvature of their trajectories at the boundary Denjoy–Wolff point. This enable us to establish an asymptotic rigidity property for semigroups of parabolic type.
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Elin, M., Shoikhet, D. Boundary behavior and rigidity of semigroups of holomorphic mappings. Anal.Math.Phys. 1, 241–258 (2011). https://doi.org/10.1007/s13324-011-0014-1
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DOI: https://doi.org/10.1007/s13324-011-0014-1