Topics in Hardy Classes and Univalent Functions (Birkhäuser Advanced Texts / Basler Lehrbücher) - Marvin Rosenblum, James Rovnyak (2004)
ISBN 376435111X
Subject Hardy classes; Univalent functions
Publisher Birkhäuser Basel
Publication Date 2/4/2004
Format Hardcover (232 x 172 mm)
Language English
This book treats classical and contemporary topics in function theory and is accessible after a one-year course in real and complex analysis. It can be used as a text for topics courses or read independently by graduate students and researchers in function theory, operator theory, and applied areas. The first six chapters supplement the authors' book, "Hardy Classes and Operator Theory". The theory of harmonic majorants for subharmonic functions is used to introduce Hardy-Orlicz classes, which are specialized to standard Hardy classes on the unit disk. The theorem of Szegö-Solomentsev characertizes boundary behavior. Half-plane function theory receives equal treatment and features the theorem of Flett and Kuran on existence of harmonic majorants and applications of the Phragmén-Lindelöf principle. The last three chapters contain an introduction to univalent functions, leading to a self-contained account of Loewner's differential equation and de Branges' proof of the Milin conjecture.
Personal Details
Collection Status In Collection
Index 1892
Read It Yes
Links Amazon US
Amazon UK
Product Details
LoC Classification QA331 .R726 1994
Dewey 515/.7
Cover Price $69.95
No. of Pages 250