Convex families of holomorphic mappings related to the convex mappings of the ball in $\mathbb {C}^n$

DOI10.1090/proc/14355zbMath1462.32019OpenAlexW2891560450MaRDI QIDQ4630664

R. Muir Jerry Jr.

Publication date: 23 April 2019

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

Full work available at URL: https://doi.org/10.1090/proc/14355

zbMATH Keywords

extreme pointbiholomorphic mappingextension operatorclosed convex hullconvex mapping

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items (4)

Support points for families of univalent mappings on bounded symmetric domains ⋮ Horosphere-invariant mappings of the unit ball in \(\mathbb{C}^n\) ⋮ Hardy-type spaces arising from a vector-valued Cauchy kernel ⋮ Loewner chains and nonlinear resolvents of the Carathéodory family on the unit ball in \(\mathbb{C}^n\)

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