Schwarz-Pick Type Inequalities
by Farit G Avkhadiev (9783764399993)

Schwarz-Pick Type Inequalities
 
Farit G Avkhadiev
Release Date: 01 April 2009
Format: Paperback / softback
Pages: 156
Category: Mathematical Analysis
Publisher: Birkhauser Basel
ISBN: 9783764399993
ISBN-10: 3764399996



This book discusses in detail the extension of the Schwarz-Pick inequality to higher order derivatives of analytic functions with given images. It is the first systematic account of the main results in this area. Recent results in geometric function theory presented here include the attractive steps on coefficient problems from Bieberbach to de Branges, applications of some hyperbolic characteristics of domains via Beardon-Pommerenke's theorem, a new interpretation of coefficient estimates as certain properties of the PoincarA(c) metric, and a successful combination of the classical ideas of Littlewood, LAwner and TeichmA1/4ller with modern approaches. The material is complemented with historical remarks on the Schwarz Lemma and a chapter introducing some challenging open problems.

The book will be of interest for researchers and postgraduate students in function theory and hyperbolic geometry.

AUD $110.95

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