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Schwarz-Pick Type Inequalities

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Dettagli

Genere:Libro
Lingua: Inglese
Pubblicazione: 02/2009
Edizione: 2009





Trama

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 Poincaré metric, and a successful combination of the classical ideas of Littlewood, Löwner and Teichmüller 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.





Sommario

1. Introduction.- 2. Basic coefficient inequalities.- 3. The Poincaré metric.- 4. Basic Schwarz-Pick type inequalities.- 5. Punishing factors for special cases.- 6. Multiply connected domains.- 7. Related results.- 8. Some open problems.










Altre Informazioni

ISBN:

9783764399993

Condizione: Nuovo
Collana: Frontiers in Mathematics
Dimensioni: 244 x 170 mm Ø 454 gr
Formato: Brossura
Illustration Notes:VIII, 156 p.
Pagine Arabe: 156
Pagine Romane: viii


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