Koebe's and Bieberbach's inequalities in the Banach algebra of continuous functions
type: Item
instance of: scholarly article
title: Koebe's and Bieberbach's inequalities in the Banach algebra of continuous functions
zbMATH Open document ID: 0860.46035
author: Mioljub Nikić
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-08-29T00:00:00Z
review text: \(T\) étant un espace topologique compact, soient \({\mathcal C}(T)=\{f\) continues \(T\to\mathbb{C}\}\) et \(B=\{f\in{\mathcal C}(T):|f|<1\}\). On étend les inégalités classiques en question, en prenant les dérivées au sens de Lorch, aux applications injectives \(B\to{\mathcal C}(T)\) de la forme \(f\mapsto f+\sum^\infty_{n=2} a_nf^n\), où \(\limsup_{n\to\infty} |a_n|^{1/n}\leq 1\).
Mathematics Subject Classification ID: 46J10
Mathematics Subject Classification ID: 30H05
zbMATH DE Number: 902531
zbMATH Keywords: Lorch derivative
reviewed by: Michel Hervé
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0132
OpenAlex ID: W2017111644
DOI: 10.1006/JMAA.1996.0132
description: scientific article; zbMATH DE number 902531