We show that an evolution family of the unit disc is commuting if and only if the associated Herglotz vector field has separated variables. This is the case if and only if the evolution family comes from a semigroup of holomorphic self-maps of the disc.

Bracci, F., Contreras, M., Diaz Madrigal, S. (2011). Semigroups versus evolution families in the Loewner theory. JOURNAL D'ANALYSE MATHEMATIQUE, 115(1), 273-292 [10.1007/s11854-011-0030-y].

Semigroups versus evolution families in the Loewner theory

BRACCI, FILIPPO;
2011-01-01

Abstract

We show that an evolution family of the unit disc is commuting if and only if the associated Herglotz vector field has separated variables. This is the case if and only if the evolution family comes from a semigroup of holomorphic self-maps of the disc.
2011
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/03 - GEOMETRIA
English
Bracci, F., Contreras, M., Diaz Madrigal, S. (2011). Semigroups versus evolution families in the Loewner theory. JOURNAL D'ANALYSE MATHEMATIQUE, 115(1), 273-292 [10.1007/s11854-011-0030-y].
Bracci, F; Contreras, M; Diaz Madrigal, S
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/100030
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