Unbounded convex mappings of the ball in $\mathbb {C}^n$
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Publication:2731936
DOI10.1090/S0002-9939-01-05967-6zbMath0978.32016OpenAlexW1984078582MaRDI QIDQ2731936
Jerry R. jun. Muir, Ted J. Suffridge
Publication date: 30 July 2001
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-01-05967-6
Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) General theory of univalent and multivalent functions of one complex variable (30C55)
Related Items (16)
Construction of convex mappings of \(p\)-balls in \(\mathbb{C}^2\) ⋮ The invariance of subclasses of biholomorphic mappings on Bergman-Hartogs domains ⋮ New subclasses of biholomorphic mappings and the modified Roper-Suffridge operator ⋮ On the parametric representation of univalent functions on the polydisc ⋮ The Roper-Suffridge extension operator and classes of biholomorphic mappings ⋮ Geometric mappings under the perturbed extension operators in complex systems analysis ⋮ Horosphere-invariant mappings of the unit ball in \(\mathbb{C}^n\) ⋮ Extension operators and automorphisms ⋮ Rigidity for convex mappings of Reinhardt domains and its applications ⋮ Approximation properties of univalent mappings on the unit ball in \(\mathbb{C}^n\) ⋮ Convex families of holomorphic mappings related to the convex mappings of the ball in $\mathbb {C}^n$ ⋮ Approximation of univalent mappings by automorphisms and quasiconformal diffeomorphismsin \(\mathbb{C}^n\) ⋮ A class of Loewner chain preserving extension operators ⋮ Extreme points for convex mappings of \(B_n \) ⋮ A proof of the Muir-Suffridge conjecture for convex maps of the unit ball in \(\mathbb{C}^n\) ⋮ A generalization of half-plane mappings to the ball in ℂⁿ
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