Four Lectures on Real HP Space by Shanzhen Lu (PDF)

Description

This book introduces the real variable theory of HP spaces briefly and concentrates on its applications to various aspects of analysis fields. It consists of four chapters. Chapter 1 introduces the basic theory of Fefferman-Stein on real HP spaces. Chapter 2 describes 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. The properties of several basic operators in HP spaces are 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.

User’s Reviews

Editorial Reviews: From the Publisher This book introduces the real variable theory of HP spacesbriefly and concentrates on its applications to various aspects ofanalysis fields. It consists of four chapters. Chapter 1 introducesthe basic theory of Fefferman-Stein on real HP spaces. Chapter 2describes the atomic decomposition theory and the moleculardecomposition theory of real HP spaces. In addition, the dual spacesof real HP spaces, the interpolation of operators in HP spaces, andthe interpolation of HP spaces are also discussed in Chapter 2. Theproperties of several basic operators in HP spaces are discussed inChapter 3 in detail. Among them, some basic results are contributed byChinese mathematicians, such as the decomposition theory of weak HPspaces and its applications to the study on the sharpness of singularintegrals, a new method to deal with the elliptic Riesz means in HPspaces, and the transference theorem of HP-multipliers etc. The lastchapter is devoted to applications of real HP spaces to approximationtheory.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Not found.

⭐Not found.

⭐Not found.

Keywords

Free Download Four Lectures on Real HP Space in PDF format
Four Lectures on Real HP Space PDF Free Download
Download Four Lectures on Real HP Space 1995 PDF Free
Four Lectures on Real HP Space 1995 PDF Free Download
Download Four Lectures on Real HP Space PDF
Free Download Ebook Four Lectures on Real HP Space