The Rademacher system in function spaces /

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Bibliographic Details
Author / Creator:Astashkin, Sergey V., author.
Edition:First edition.
Imprint:Cham, Switzerland : Springer, 2020.
Description:1 online resource.
Language:English
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12608306
Hidden Bibliographic Details
ISBN:9783030478902
3030478904
9783030478896
3030478890
Digital file characteristics:text file PDF
Notes:Online resource; title from PDF title page (EBSCO, viewed September 8, 2020).
Summary: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.
Other form:Print version: Astashkin, Sergey V. The Rademacher System in Function Spaces Cham : Springer International Publishing AG,c2020 9783030478896
Standard no.:10.1007/978-3-030-47
10.1007/978-3-030-47890-2