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商品詳細
Foundations of Symmetric Spaces of Measurable Functions : Lorentz, Marcinkiewicz and Orlicz Spaces. Softcover reprint of the original 1st ed. 2016.
・ISBN 978-3-319-82656-1 paper EUR 69.99
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| 著者・編者 | Rubshtein, Ben-Zion A. / Grabarnik, Genady Ya. / Muratov, Mustafa A. / Pashkova, Yulia S., |
|---|---|
| シリーズ | Developments in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2018 |
| ページ数 | 259 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-9＞ |
解説
Key definitions and results in symmetric spaces, particularly Lp, Lorentz, Marcinkiewicz and Orlicz spaces are emphasized in this textbook. A comprehensive overview of the Lorentz, Marcinkiewicz and Orlicz spaces is presented based on concepts and results of symmetric spaces. Scientists and researchers will find the application of linear operators, ergodic theory, harmonic analysis and mathematical physics noteworthy and useful.
This book is intended for graduate students and researchers in mathematics and may be used as a general reference for the theory of functions, measure theory, and functional analysis. This self-contained text is presented in four parts totaling seventeen chapters to correspond with a one-semester lecture course. Each of the four parts begins with an overview and is subsequently divided into chapters, each of which concludes with exercises and notes. A chapter called "Complements" is included at the end of the text as supplementary materialto assist students with independent work.