Embedding univalent functions in filtering Loewner chains in higher dimension
Complex Variables
2016-08-11 v2
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 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.
Cite
@article{arxiv.1306.6759,
title = {Embedding univalent functions in filtering Loewner chains in higher dimension},
author = {Leandro Arosio and Filippo Bracci and Erlend Fornæss Wold},
journal= {arXiv preprint arXiv:1306.6759},
year = {2016}
}
Comments
Slighlty revised version; accepted in Proc. Amer. Math. Soc