| 书目名称 | Orlicz Spaces and Generalized Orlicz Spaces |
| 编辑 | Petteri Harjulehto,Peter Hästö |
| 视频video | |
| 概述 | The first book on harmonic analysis in generalized Orlicz spaces.Considers the most general class of F-functions, giving a systematic presentation of the use of equivalent F-functions to simplify proo |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak–Orlicz spaces) with minimal assumptions on the generating Φ-function. It introduces and develops a technique centered on the use of equivalent Φ-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 Calderón–Zygmund operators. Finally, central results are provided for Sobolev spaces, including Poincaré and Sobolev–Poincaré 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.. |
| 出版日期 | Book 2019 |
| 关键词 | Extrapolation; Maximum Function; Musielak-Orlicz Space; Orlicz Space; Phi-function; Sobolev Space; partial |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-15100-3 |
| isbn_softcover | 978-3-030-15099-0 |
| isbn_ebook | 978-3-030-15100-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer Nature Switzerland AG 2019 |
发表于 2025-3-21 18:18:56
