ENGLISH

The Rademacher System in Function Spaces

By Sergey V. Astashkin

Book information

Publisher
Springer International Publishing;Birkhäuser
Year
2020
ISBN
9783030478896, 9783030478902
DOI
10.1007/978-3-030-47890-2
Language
english
Format
PDF
Filesize
6 MB (6807769 bytes)
Edition
1st ed.
Pages
XX, 559\567
Time added
2021-01-06 05:41:07
Mathematics; Functional Analysis; Probability TheoOperational Calculus

Description

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.

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