Singular Integrals and Fourier Theory on Lipschitz Boundaries

• Main Authors: Qian, Tao (Author, http://id.loc.gov/vocabulary/relators/aut), Li, Pengtao (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Subjects: Mathematical analysis.; Analysis (Mathematics).; Analysis.

The main purpose of this book is to provide a detailed and comprehensive survey of the theory of singular integrals and Fourier multipliers on Lipschitz curves and surfaces, an area that has been developed since the 1980s. The subject of singular integrals and the related Fourier multipliers on Lips...

Table of Contents:

• Singular integrals and Fourier multipliers on infinite Lipschitz curves
• Singular integral operators on closed Lipschitz curves
• Clifford analysis, Dirac operator and the Fourier transform
• Convolution singular integral operators on Lipschitz surfaces
• Holomorphic Fourier multipliers on infinite Lipschitz surfaces
• Bounded holomorphic Fourier multipliers on closed Lipschitz surfaces
• The fractional Fourier multipliers on Lipschitz curves and surfaces
• Fourier multipliers and singular integrals on Cn.