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Topics in Hardy classes and univalent functions /

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....

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Bibliographic Details
Main Author: Rosenblum, Marvin
Corporate Author: SpringerLink (Online service)
Other Authors: Rovnyak, James
Format: eBook
Language:English
Published: Basel ; Boston : Birkhäuser, [1994]
Series:Birkhäuser Advanced Texts, Basler Lehrbücher.
Subjects:
Hardy classes.
Univalent functions.
fonction univalente.
théorie opérateur.
classe Hardy.
Espace Hardy.
fonction sous-harmonique.
Fonction harmonique.
Hardy, Classes de.
Fonctions univalentes.
Hardy-ruimten.
Univalente functies.
Hardy, classes de.
Schlichte Funktion.
Hardy-Klasse.
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Item Description:Electronic resource.
Physical Description:1 online resource (ix, 250 pages) : illustrations.
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:Includes bibliographical references (pages 237-244) and index.
ISBN:9783034885201 (electronic bk.)
3034885202 (electronic bk.)