| 书目名称 | Pointwise Convergence of Fourier Series |
| 编辑 | Juan Arias de Reyna |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | This book contains a detailed exposition of Carleson-Hunt theorem following the proof of Carleson: to this day this is the only one giving better bounds. It points out the motivation of every step in the proof. Thus the Carleson-Hunt theorem becomes accessible to any analyst.The book also contains the first detailed exposition of the fine results of Hunt, Sjölin, Soria, etc on the convergence of Fourier Series. Its final chapters present original material. With both Fefferman‘s proof and the recent one of Lacey and Thiele in print, it becomes more important than ever to understand and compare these two related proofs with that of Carleson and Hunt. These alternative proofs do not yield all the results of the Carleson-Hunt proof. The intention of this monograph is to make Carleson‘s proof accessible to a wider audience, and to explain its consequences for the pointwise convergence of Fourier series for functions in spaces near $äcal Lü^1$, filling a well-known gap in the literature. |
| 出版日期 | Book 2002 |
| 关键词 | Carleson theorem; Fourier series; calculus; convergence; function; maximal operator; proof; theorem |
| 版次 | 1 |
| doi | https://doi.org/10.1007/b83346 |
| isbn_softcover | 978-3-540-43270-8 |
| isbn_ebook | 978-3-540-45822-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2002 |
发表于 2025-3-21 18:10:11
