《实HP空间四讲》亚马逊编辑推荐：
本书是一本专著, 它介绍了Hp空间的实变理论及其在分析领域中的应用。
全书分四章。第一章以简短的篇幅介绍了Hp空间的Fefferman—Stein理论, 这个理论的核心是用多种形式的极大函数来刻画Hp空间的特征；第二章是建立Hp空间的分解结构理论, 其中包括Coifman的原子分解理论和Taibleson—Weiss的分子分解理论；第三章是作为前两章内容的应用, 研究了分析领域中若干基本算子在Hp空间上的有界性质；第四章运用头两章中的理论并结合乘子理论, 系统地建立了Hp空间上的逼近理论, 包括逼近的正定理和逆定理。本书可用作为数学专业研究生教材, 也可供相关专业的研究工作者参考。
目次：Hp(Rp)空间的实变量理论；Hp(Rp)空间的分解结构理论；在傅立叶分析中的应用；在逼近理论中的应用。
读者对象：适用于数学专业本科学生及相关专业的学生及科研人员。
《实HP空间四讲》内容简介 ：
The whole book consists of four chapters. The basic theory of Fefferman-Stein on real Hp spaces is briefly introduced in Chapter 1. The contents in Chapter 2 involve the atomic decomposition theory and the molecular decomposition theory of real Hp spaces. In addition, the dual spaces of real Hp spaces, the interpolation of operators in Hp spaces, and the interpolation of Hp spaces are also discussed in Chapter 2 as a prerequisite for Chapters 3 and 4. The properties of several basic operators in Hp spaces will be discussed in Chapter 3 in detail. Among them, some basic results are contributed by Chinese mathematicians, such as the decomposition theory of weak Hp spaces and its applications to the study on the sharpness of singular integrals, a new method to deal with the elliptic Riesz means in Hp spaces, and the transference theorem of Hp multipliers, etc. The last chapter is devoted to applications of real HP spaces to approximation theory. The materials in Chapter 4 are fully contributed by Chinese mathematicians.
亚马逊目录 ：
Preface
Chapter 1 Real Variable Theory of Hp（R2） Spaces
1 Definition of Hp（Rn） spaces
2 Non-tangential maximal functions
3 Grand maximal functions
Chapter 2 Decomposition Structure Theory of Hp（Rn） Spaces
1 Atom
2 Dual space of H1（Rn）
3 Atom decomposition
4 Dual space of Hp（Rn）
5 Interpolation of operators
6 Interpolations of Hp spaces; weak Hp spaces
7 Molecule; molecule decomposition
8 Applications to the boundedness of operators
Chapter 3 Applications to Fourier Analysis
1 Fourier transform
2 The Fourier multiplier
3 The Riesz potential operators
4 Singular integral operators
5 The Bochner-Riesz means
6 Transference theorems of Hp multipliers
Chpater 4 Applications to Approximation Theory
1 K functional
2 HP multiplier and Jackson-type inequality
3 Hp multiplier and Bernstein type inequality
4 Approximation by Bochner-Riesz means at critical index
References
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亚马逊书摘插图 ：
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序言 ：
It is well known that the study on Hp spaces has been going on for a long period. The classical Hp spaces on the unit circle or upper half-plane are defined by the aid of complex method. The theory of these spaces plays an important role in the study of the classical Fourier analysis. It is natural to extend the definitions of these spaces to higher dimensional case along with the development of the Fourier analysis on Euclidean spaces. The first work on this was done by E. M. Stein and G. Weiss. The definition and theory of the n-dimensional Hp spaces that they established in the early days of the sixties are based on the method of harmonic functions instead of the complex method. However, the most important step in the development of Hp spaces is that the real variable theory of Hp spaces was found by virtue of the method of maximal functions in the early days of the seventies. The purpose of this book is to introduce the real variable theory of Hp spaces in short and pay more attention to its applications to some respects in analysis fields.
The whole book consists of four chapters. The basic theory of FeffermanStein on real Hp spaces is briefly introduced in Chapter 1. The contents in Chapter 2 involve the atomic decomposition theory and the molecular decomposition theory of real Hp spaces. In addition, the dual spaces of real Hp spaces, the interpolation of operators in Hp spaces, and the interpolation of Hp spaces are also discussed in Chapter 2 as a prerequisite for Chapters 3 and 4. The properties of several basic operators in Hp spaces will be discussed in Chapter 3 in detail. Among them, some basic results are contributed by Chinese mathematicians, such as the decomposition theory of weak Hp spaces and its applications to the study on the sharpness of singular integrals, a new method to deal with the elliptic Riesz means in Hp spaces, and the transference theorem of Hp multipliers, etc. The last chapter is devoted to applications of real Hp spaces to approximation theory. The materials in Chapter 4 are fully contributed by Chinese mathematicians.