Distortion theorems for convex mappings on homogeneous balls
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Publication:984696
DOI10.1016/j.jmaa.2010.03.014zbMath1208.32015OpenAlexW2072914417MaRDI QIDQ984696
Gabriela Kohr, Hidetaka Hamada, Cho-Ho Chu, Tatsuhiro Honda
Publication date: 20 July 2010
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.03.014
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)
Related Items (22)
Distortion of locally biholomorphic Bloch mappings on bounded symmetric domains ⋮ 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 ⋮ A Schwarz lemma at the boundary on complex Hilbert balls and applications to starlike mappings ⋮ Distortion theorems for normalized biholomorphic quasi-convex mappings ⋮ Distortion theorems for classes of \(g\)-parametric starlike mappings of real order in \(\mathbb{C}^n\) ⋮ Bloch Mappings on Bounded Symmetric Domains ⋮ Linear invariance of locally biholomorphic mappings in the unit ball of a JB\(^\ast\)-triple ⋮ Growth and distortion theorems on subclasses of quasi-convex mappings in several complex variables ⋮ Distortion theorems for almost convex mappings of order \(\alpha\) in several complex variables ⋮ Bloch functions on bounded symmetric domains ⋮ \(\alpha\)-Bloch mappings on bounded symmetric domains in \(\mathbb C^n\) ⋮ On the sharp distortion theorems for a subclass of starlike mappings in several complex variables ⋮ On the generalized class of close-to-convex mappings ⋮ A distortion theorem and the Bloch constant for Bloch mappings in \(\mathbb{C}^N\) ⋮ Growth and distortion theorems for linearly invariant families on homogeneous unit balls in \(\mathbb C^n\) ⋮ 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 ⋮ 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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