Gives a unified representation of recent generalisations of the Schwarz Lemma: best possible estimates of derivatives of higher order of analytic functionswith given images The preparatory materials in the book are connected with topics that play a key role in geometric function theory. Namely, the authors describe the most famous coefficient theorems of the last century and explain a profound connection between coefficient estimates and characteristics of the hyperbolic geometry in a domain. Readers will find many open problems related to Schwarz-Pick type estimates Contains historical remarks on the Schwarz Lemmaas well as new theorems on Schwarz-Pick inequalities from the last 25 years In addition to the several analytic methods, readers will find many interestingapplications of geometric properties of domains from very special cases to domains with uniformly perfect boundary A lot of open problems, old and new, in geometric function theory are discussed in detail
- ISBN: 978-3-7643-9999-3
- Editorial: Birkhaüser
- Encuadernacion: Rústica
- Páginas: 180
- Fecha Publicación: 01/03/2009
- Nº Volúmenes: 1
- Idioma: Inglés