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.File in questo prodotto:
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