Distortion theorems for biholomorphic convex mappings in Banach spaces*

DOI10.1080/02781070412331329412zbMath1083.32014OpenAlexW2507813997MaRDI QIDQ4660018

Ming-Sheng Liu, Yu-Can Zhu

Publication date: 21 March 2005

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

Full work available at URL: https://doi.org/10.1080/02781070412331329412

zbMATH Keywords

Minkowski functionaldistortion theorembiholomorphic convex mapping

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Holomorphic maps on manifolds (58C10) Questions of holomorphy and infinite-dimensional manifolds (58B12)

Related Items (10)

Sharp distortion theorems for a subclass of biholomorphic mappings which have a parametric representation in several complex variables ⋮ Distortion results for a certain subclass of biholomorphic mappings in ℂⁿ ⋮ Distortion theorems for classes of \(g\)-parametric starlike mappings of real order in \(\mathbb{C}^n\) ⋮ Distortion theorems for almost convex mappings of order \(\alpha\) in several complex variables ⋮ On the sharp distortion theorems for a subclass of starlike mappings in several complex variables ⋮ On a subclass of close-to-convex mappings ⋮ 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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