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arXiv · 1306.6759

Embedding univalent functions in filtering Loewner chains in higher dimension

Leandro Arosio·Filippo Bracci·Erlend Fornæss Wold
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Abstract

We discuss the problem of embedding univalent functions into Loewner chains in higher dimension. In particular, we prove that a normalized univalent map of the ball in $\C^n$ whose image is a smooth strongly pseudoconvex domain is embeddable into a normalized Loewner chain (satisfying also some extra regularity properties) if and only if the closure of the image is polynomially convex.

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Leandro Arosio, Filippo Bracci, Erlend Fornæss Wold. 2013-06-28. Embedding univalent functions in filtering Loewner chains in higher dimension. https://arxiv.org/abs/1306.6759

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