Embedding univalent functions in filtering Loewner chains in higher dimension

DOI10.1090/S0002-9939-2014-12339-2zbMath1314.32022arXiv1306.6759OpenAlexW1973204551MaRDI QIDQ5179330

Leandro Arosio, Filippo Bracci, Erlend Fornæss Wold

Publication date: 19 March 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6759

zbMATH Keywords

univalent functionsembedding problemsRunge domainsLoewner theory in higher dimensionpolynomially convex domains

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Other generalizations of function theory of one complex variable (32A30) General theory of univalent and multivalent functions of one complex variable (30C55) Strongly pseudoconvex domains (32T15)

Related Items (8)

Variation of Loewner chains, extreme and support points in the class \(S^0\) in higher dimensions ⋮ Extremal Problems and g-Loewner Chains in $$\mathbb{C}^{n}$$ and Reflexive Complex Banach Spaces ⋮ An embedding of the unit ball that does not embed into a Loewner chain ⋮ Approximation properties of univalent mappings on the unit ball in \(\mathbb{C}^n\) ⋮ Support Points and the Bieberbach Conjecture in Higher Dimension ⋮ Spiralshapelike mappings in several complex variables ⋮ Approximation of univalent mappings by automorphisms and quasiconformal diffeomorphismsin \(\mathbb{C}^n\) ⋮ Approximation and Loewner theory of holomorphic covering mappings

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