Classical Fourier Analysis (SECOND EDITION)
经典傅里叶分析（第三版）

Author: Loukas Grafakos

下载地址：https://www.zhisci.com/pdfshow/17701

The main goal of this text is to present the theoretical foundation of the field of Fourier analysis on Euclidean spaces. It covers classical topics such as interpolation, Fourier series, the Fourier transform, maximal functions, singular integrals, and Littlewood–Paley theory. The primary readership is intended to be graduate students in mathematics with the prerequisite including satisfactory completion of courses in real and complex variables. The coverage of topics and exposition style are designed to leave no gaps in understanding and stimulate further study.
本文的主要目的是介绍欧氏空间傅立叶分析领域的理论基础。它涵盖了经典的主题，如插值，傅立叶级数，傅立叶变换，极大函数，奇异积分，和利特尔伍德-佩利理论。主要读者是数学专业的研究生，先决条件包括圆满完成真实和复杂变量的课程。主题的覆盖范围和阐述的风格是为了在理解上留下空白，并促进进一步的研究。

This third edition includes new Sections 3.5, 4.4, 4.5 as well as a new chapter on “Weighted Inequalities,” which has been moved from GTM 250, 2nd Edition. Appendices I and B.9 are also new to this edition. Countless corrections and improvements have been made to the material from the second edition. Additions and improvements include: more examples and applications, new and more relevant hints for the existing exercises, new exercises, and improved references.
第三版包括新的第3.5节、第4.4节、第4.5节以及关于“加权不等式”的新章节，该章节已从GTM 250第2版中删除。附录I和B.9也是本版新增内容。对第二版的材料作了无数的修改和改进。增加和改进包括：更多的例子和应用，现有练习的新的和更相关的提示，新的练习，和改进的参考文献。

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