| 书目名称 | The E. M. Stein Lectures on Hardy Spaces |
| 编辑 | Steven G. Krantz |
| 视频video | |
| 概述 | Captures a course given by Elias M. Stein in 1973-1974.Represents the point of view of a major figure in twentieth-century harmonic analysis.Offers a unique insight into real variable Hardy spaces fro |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .The book. The E. M. Stein Lectures on Hardy Spaces. is based on a graduate course on real variable Hardy spaces which was given by E.M. Stein at Princeton University in the academic year 1973-1974. Stein, along with C. Fefferman and G. Weiss, pioneered this subject area, removing the theory of Hardy spaces from its traditional dependence on complex variables, and to reveal its real-variable underpinnings..This book is based on Steven G. Krantz’s notes from the course given by Stein. The text builds on Fefferman‘s theorem that BMO is the dual of the Hardy space. Using maximal functions, singular integrals, and related ideas, Stein offers many new characterizations of the Hardy spaces. The result is a rich tapestry of ideas that develops the theory of singular integrals to a new level. The final chapter describes the major developments since 1974..This monograph is of broad interest to graduate students and researchers in mathematical analysis. Prerequisites for the book include a solid understanding of real variable theory and complex variable theory. A basic knowledge of functional analysis would also be useful.. |
| 出版日期 | Book 2023 |
| 关键词 | Harmonic analysis; Hardy space; Maximal function; Singular integrals; Riesz transforms; Generalized Cauch |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-21952-8 |
| isbn_softcover | 978-3-031-21951-1 |
| isbn_ebook | 978-3-031-21952-8Series 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 Switzerl |
发表于 2025-3-21 16:42:55
