Overview
Uses a wide diversity of methods reflecting the Rademacher system in various areas of mathematics
Includes Appendices explaining the prerequisites needed
Collects material available only scattered through journal articles so far
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Table of contents (16 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This book presents a systematic treatment of the Rademacher system, one of the most important unifying concepts in mathematics, and includes a number of recent important and beautiful results related to the Rademacher functions. The book discusses the relationship between the properties of the Rademacher system and geometry of some function spaces. It consists of three parts, in which this system is considered respectively in Lp-spaces, in general symmetric spaces and in certain classes of non-symmetric spaces (BMO, Paley, Cesaro, Morrey). The presentation is clear and transparent, providing all main results with detailed proofs. Moreover, literary and historical comments are given at the end of each chapter.
This book will be suitable for graduate students and researchers interested in functional analysis, theory of functions and geometry of Banach spaces.Reviews
Authors and Affiliations
Bibliographic Information
Book Title: The Rademacher System in Function Spaces
Authors: Sergey V. Astashkin
DOI: https://doi.org/10.1007/978-3-030-47890-2
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-47889-6Published: 28 July 2020
Softcover ISBN: 978-3-030-47892-6Published: 29 July 2021
eBook ISBN: 978-3-030-47890-2Published: 27 July 2020
Edition Number: 1
Number of Pages: XX, 559
Number of Illustrations: 1 b/w illustrations, 1 illustrations in colour
Topics: Functional Analysis, Probability Theory and Stochastic Processes, Operator Theory, Integral Transforms, Operational Calculus