Distortion theorems for holomorphic maps between convex domains in n

DOI10.1080/17476939008814431zbMath0681.32002OpenAlexW2598386545MaRDI QIDQ4730047

Ian Graham

Publication date: 1990

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476939008814431

zbMATH Keywords

holomorphic mapsdistortionintrinsic metricsconvex domains in \({\mathbb{C}}^ n\)Koebe theorem

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Other generalizations of function theory of one complex variable (32A30) Holomorphic functions of several complex variables (32A10)

Related Items (7)

COMPACTNESS OF CERTAIN FAMILIES OF PSEUDO-HOLOMORPHIC MAPPINGS INTO ${\mathbb C}^n$ ⋮ On the continuous extension of Kobayashi isometries ⋮ Goldilocks domains, a weak notion of visibility, and applications ⋮ Complex geodesics, their boundary regularity, and a Hardy-Littlewood-type lemma ⋮ A form of Schwarz's lemma and a bound for the Kobayashi metric on convex domains ⋮ An application from partial sums of \(e^ z\) to a problem in several complex variables ⋮ Smoothly bounded domains covering finite volume manifolds

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