Growth and Distortion Results for Convex Mappings in Infinite Dimensional Spaces

DOI10.1080/02781070290013866zbMath1034.46043OpenAlexW1989296589MaRDI QIDQ3152083

Hidetaka Hamada, Gabriela Kohr

Publication date: 22 October 2002

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

Full work available at URL: https://doi.org/10.1080/02781070290013866

zbMATH Keywords

Minkowski functionalbiholomorphic mappingconvex mappingbounded balanced convex domain

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Infinite-dimensional holomorphy (46G20) Local analytic geometry (32B99) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items (16)

Growth theorems and coefficient bounds for univalent holomorphic mappings which have parametric representation ⋮ Sharp distortion theorems for a subclass of biholomorphic mappings which have a parametric representation in several complex variables ⋮ Sharp distortion theorems for a class of biholomorphic mappings in several complex variables ⋮ On the precise growth, covering, and distortion theorems for normalized biholomorphic mappings ⋮ A Schwarz lemma at the boundary on complex Hilbert balls and applications to starlike mappings ⋮ Two generalizations of Bohr radius ⋮ Bohr phenomenon on the unit ball of a complex Banach space ⋮ Sharp growth theorems and coefficient bounds for starlike mappings in several complex variables ⋮ Distortion theorems for almost convex mappings of order \(\alpha\) in several complex variables ⋮ On a subclass of close-to-convex mappings ⋮ Growth and distortion results for a class of biholomorphic mapping and extremal problem with parametric representation in \(\mathbb{C}^n\) ⋮ Trace-order and a distortion theorem for linearly invariant families on the unit ball of a finite dimensional JB\(^{\ast }\) -triple ⋮ Distortion theorems for convex mappings on homogeneous balls ⋮ Sharp distortion theorems for a subclass of close-to-convex mappings ⋮ Sharp distortion theorems for a subclass of quasi-convex mappings in several complex variables ⋮ The growth, covering and distortion theorems for a subclass of convex mappings

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