书目名称 | The Rademacher System in Function Spaces | 编辑 | Sergey V. Astashkin | 视频video | http://file.papertrans.cn/919/918168/918168.mp4 | 概述 | 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 thr | 图书封面 |  | 描述 | .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 L.p.-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.. | 出版日期 | Book 2020 | 关键词 | Rademacher functions; symmetric space; Khintchine inequality; interpolation of operators; Peetre K-funct | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-47890-2 | isbn_softcover | 978-3-030-47892-6 | isbn_ebook | 978-3-030-47890-2 | copyright | Springer Nature Switzerland AG 2020 |
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