The Rademacher System in Function Spaces (PDF)
(Sprache: Englisch)
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...
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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.
Bibliographische Angaben
- Autor: Sergey V. Astashkin
- 2020, 1st ed. 2020, 559 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3030478904
- ISBN-13: 9783030478902
- Erscheinungsdatum: 27.07.2020
Abhängig von Bildschirmgrösse und eingestellter Schriftgrösse kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Dateiformat: PDF
- Grösse: 6.46 MB
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Sprache:
Englisch
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