Includes bibliographical references (pages 383-392) and index
The Calderón-Zygmund theory I : ellipticity -- The Calderón-Zygmund theory II : maximal hypoellipticity -- Multi-parameter Carnot-Carathéodory geometry -- Multi-parameter singular integrals I : examples -- Multi-parameter singular integrals II : general theory -- A. Functional analysis -- B. Three results from calculus -- C. Notation
"This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory balls. Brian Street first details the classical theory of Calderón-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Carathéodory geometry, where the main tool is a quantitative version of the classical theorem of Frobenius. Street then gives several examples of multi-parameter singular integrals arising naturally in various problems. The final chapter of the book develops a general theory of singular integrals that generalizes and unifies these examples"-- Publisher's description
