Growth and coefficient estimates for uniformly locally univalent functions on the unit disk.
type: Item
instance of: scholarly article
title: Growth and coefficient estimates for uniformly locally univalent functions on the unit disk.
zbMATH Open document ID: 1034.30009
author: Yong Chan Kim
author: Toshiyuki Sugawa
published in: Rocky Mountain Journal of Mathematics
publication date: 2003-12-03T00:00:00Z
full work available at URL: CONT32-1.html
review text: In this note the authors give a sharp distortion estimate for a uniformly locally univalent holomorphic function on the unit disk in terms of the norm of the pre-Schwarzian derivative. They also investigate the growth of coefficients and integral means of such functions, and mention a connection with Hardy spaces. Finally, they give norm estimates for some typical classes of univalent functions.
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 30C50
Mathematics Subject Classification ID: 30C80
zbMATH DE Number: 2012032
zbMATH Keywords: pre-Schwarzian derivative
zbMATH Keywords: uniformly locally univalent
zbMATH Keywords: growth estimate
zbMATH Keywords: coefficient estimate
reviewed by: Martin Chuaqui
MaRDI profile type: Publication
OpenAlex ID: W2086914704
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DOI: 10.1216/RMJM/1030539616
description: scientific article; zbMATH DE number 2012032