We give conditions in order to approximate locally uniformly holomorphic covering mappings of the unit ball of C-n with respect to an arbitrary norm, with entire holomorphic covering mappings. The results rely on a generalization of the Loewner theory for covering mappings which we develop in the paper.

Fiacchi, M. (2020). Approximation and Loewner theory of holomorphic covering mappings. ANNALI DI MATEMATICA PURA ED APPLICATA, 199(2), 795-808 [10.1007/s10231-019-00900-6].

Approximation and Loewner theory of holomorphic covering mappings

Fiacchi M.
2020-01-01

Abstract

We give conditions in order to approximate locally uniformly holomorphic covering mappings of the unit ball of C-n with respect to an arbitrary norm, with entire holomorphic covering mappings. The results rely on a generalization of the Loewner theory for covering mappings which we develop in the paper.
2020
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MATH-02/B - Geometria
English
Con Impact Factor ISI
Loewner chains
Holomorphic covering mappings
Loewner chain of covering mappings
Andersen-Lempert theorem
Approximation of holomorphic covering mappings
Fiacchi, M. (2020). Approximation and Loewner theory of holomorphic covering mappings. ANNALI DI MATEMATICA PURA ED APPLICATA, 199(2), 795-808 [10.1007/s10231-019-00900-6].
Fiacchi, M
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/438563
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