| 书目名称 | Real-Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko |
| 编辑 | Yinqin Li,Dachun Yang,Long Huang |
| 视频video | |
| 概述 | Presents a detailed and complete real-variable theory of generalized Herz-Hardy type function spaces.Gives a fresh perspective of treating generalized Herz spaces as special cases of ball quasi-Banach |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | The real-variable theory of function spaces has always been at the core of harmonic analysis. In particular, the real-variable theory of the Hardy space is a fundamental tool of harmonic analysis, with applications and connections to complex analysis, partial differential equations, and functional analysis..This book is devoted to exploring properties of generalized Herz spaces and establishing a complete real-variable theory of Hardy spaces associated with local and global generalized Herz spaces via a totally fresh perspective. This means that the authors view these generalized Herz spaces as special cases of ball quasi-Banach function spaces..In this book, the authors first give some basic properties of generalized Herz spaces and obtain the boundedness and the compactness characterizations of commutators on them. Then the authors introduce the associated Herz–Hardy spaces, localized Herz–Hardy spaces, and weak Herz–Hardy spaces, and develop a complete real-variable theory of these Herz–Hardy spaces, including their various maximal function, atomic, molecular as well as various Littlewood–Paley function characterizations. As applications, the authors establish the boundedness of |
| 出版日期 | Book 2022 |
| 关键词 | generalized Herz space; ball quasi-Banach function space; Hardy space; localized Hardy space; weak Hardy |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-19-6788-7 |
| isbn_softcover | 978-981-19-6787-0 |
| isbn_ebook | 978-981-19-6788-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
发表于 2025-3-21 19:53:07
