- Includes a comprehensive list of results on integral means taken from several research papers
- Text is concise and self-contained, making it easily accessible to graduate students
- Provides rapid access to the frontiers of research in this field
Buy this book
- About this book
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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.
- Reviews
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From the reviews:
“This short monograph presents an account with full proofs of early investigations from around 1970–1980 on derivatives of inner functions … . the author also revisits Carathéodory’s theory on angular derivatives and gives a brief glimpse on Frostman’s results on exceptional sets for inner functions. … It fits well for student seminars.” (Raymond Mortini, Mathematical Reviews, August, 2013)
- Table of contents (10 chapters)
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Inner Functions
Pages 1-26
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The Exceptional Set of an Inner Function
Pages 27-38
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The Derivative of Finite Blaschke Products
Pages 39-50
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Angular Derivative
Pages 51-70
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H p -Means of S′
Pages 71-81
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Table of contents (10 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Derivatives of Inner Functions
- Authors
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- Javad Mashreghi
- Series Title
- Fields Institute Monographs
- Series Volume
- 31
- Copyright
- 2013
- Publisher
- Springer-Verlag New York
- Copyright Holder
- Springer Science+Business Media New York
- eBook ISBN
- 978-1-4614-5611-7
- DOI
- 10.1007/978-1-4614-5611-7
- Hardcover ISBN
- 978-1-4614-5610-0
- Softcover ISBN
- 978-1-4899-8941-3
- Series ISSN
- 1069-5273
- Edition Number
- 1
- Number of Pages
- X, 170
- Topics
