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- W1974464739 abstract "Abstract The classical Julia–Wolff–Carathéodory Theorem is one of the main tools to study the boundary behavior of holomorphic self-maps of the unit disc of ℂ. In this paper we prove a Julia–Wolff–Carathéodory type theorem in the case of the polydisc of . The Busemann functions are used to define a class of “generalized horospheres” for the polydisc and to extend the notion of non-tangential limit. With these new tools we give a generalization of the classical Julia Lemma and of the Lindelöf Theorem, which the new Julia–Wolff–Carathéodory Theorem relies upon." @default.
- W1974464739 created "2016-06-24" @default.
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- W1974464739 date "2010-04-13" @default.
- W1974464739 modified "2023-10-18" @default.
- W1974464739 title "Busemann Functions and the Julia–Wolff–Carathéodory Theorem for polydiscs" @default.
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- W1974464739 doi "https://doi.org/10.1515/advgeom.2010.016" @default.
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