ENGLISH

Derivatives of Inner Functions (Fields Institute Monographs, 31)

By Mashreghi

Book information

Publisher
Springer
Year
2012
ISBN
146145610X, 9781461456100
Language
english
Format
PDF
Filesize
2 MB (1877829 bytes)
Pages
\176
Time added
2024-03-17 15:48:19

Description

​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.

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