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商品詳細
Orlicz Spaces and Generalized Orlicz Spaces. 1st ed. 2019.
・ISBN 978-3-030-15099-0 paper EUR 44.99
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| 著者・編者 | Harjulehto, Petteri / Haestoe, Peter, |
|---|---|
| シリーズ | Lecture Notes in Mathematics |
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2019 |
| ページ数 | 169 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-3222＞ |
解説
This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak-Orlicz spaces) with minimal assumptions on the generating ?-function. It introduces and develops a technique centered on the use of equivalent ?-functions. Results from classical functional analysis are presented in detail and new material is included on harmonic analysis. Extrapolation is used to prove, for example, the boundedness of Calderon-Zygmund operators. Finally, central results are provided for Sobolev spaces, including Poincare and Sobolev-Poincare inequalities in norm and modular forms.
Primarily aimed at researchers and PhD students interested in Orlicz spaces or generalized Orlicz spaces, this book can be used as a basis for advanced graduate courses in analysis.