The roles played by order of convexity or starlikeness and the Bloch condition in the extension of mappings from the disk to the ball
type: Item
instance of: scholarly article
title: The roles played by order of convexity or starlikeness and the Bloch condition in the extension of mappings from the disk to the ball
zbMATH Open document ID: 1275.32017
author: Jerry R. jun. Muir
published in: Complex Analysis and Operator Theory
publication date: 2013-10-10T00:00:00Z
Mathematics Subject Classification ID: 32H02
Mathematics Subject Classification ID: 32A30
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 6214900
zbMATH Keywords: biholomorphic mappings
zbMATH Keywords: extension operators
zbMATH Keywords: convex mappings
zbMATH Keywords: starlike mappings
zbMATH Keywords: Bloch mappings
MaRDI profile type: Publication
full work available at URL: s11785-010-0116-z
OpenAlex ID: W2062742366
cites work: Short Proofs of Three Theorems on Harmonic Functions
cites work: Convex Hulls and Extreme Points of Families of Starlike and Convex Mappings
cites work: Extension operators for locally univalent mappings
cites work: Q4444884
cites work: Loewner chains and the Roper-Suffridge extension operator
cites work: The Roper-Suffridge extension operator and classes of biholomorphic mappings
cites work: Univalent mappings associated with the Roper-Suffridge extension operator
cites work: On a theorem of Grace
cites work: Starlike and convex mappings in several complex variables
cites work: Q5850681
cites work: A class of Loewner chain preserving extension operators
cites work: Extension of convex mappings of order \(\alpha \) of the unit disk in \(\mathbb C\) to convex mappings of the unit ball in \(\mathbb C^n\)
cites work: A modification of the Roper-Suffridge extension operator
cites work: Construction of convex mappings of \(p\)-balls in \(\mathbb{C}^2\)
cites work: Extreme points for convex mappings of \(B_n \)
cites work: Convex mappings on the unit ball of \(\mathbb C^ n\)
cites work: Convexity properties of holomorphic mappings in ℂⁿ
cites work: Starlike and convex maps in Banach spaces
DOI: 10.1007/S11785-010-0116-Z
description: scientific article; zbMATH DE number 6214900