Derivatives of Inner Functions (Fields Institute Monographs, 31)

✍ Scribed by Mashreghi

Publisher: Springer
Year: 2012
Tongue: English
Leaves: 176
Category: Library

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✦ Synopsis

Inner functions form an important subclass of bounded analytic functions. Since they have unimodular boundary values, they appear in many extremal problems of complex analysis. They have been extensively studied since early last century, and the literature on this topic is vast. Therefore, this book is devoted to a concise study of derivatives of these objects, and confined to treating the integral means of derivatives and presenting a comprehensive list of results on Hardy and Bergman means. The goal is to provide rapid access to the frontiers of research in this field. This monograph will allow researchers to get acquainted with essentials on inner functions, and it is self-contained, which makes it accessible to graduate students.

✦ Table of Contents

Derivatives of Inner Functions
Preface
Contents
Chapter 1: Inner Functions
Chapter 2: The Exceptional Set of an Inner Function
Chapter 3: The Derivative of Finite Blaschke Products
Chapter 4: Angular Derivative
Chapter 5: Hp-Means of S'
Chapter 6: Bp-Means of S'
Chapter 7: The Derivative of a Blaschke Product
Chapter 8: Hp-Means of B'
Chapter 9: Bp-Means of B'
Chapter 10: The Growth of Integral Means of B'
References
Index

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