Multi-Parameter Singular Integrals. (Am-189), Volume I (Annals Of Mathematics Studies, 189)

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. This is one of the first general theories of multi-parameter singular integrals that goes beyond the product theory of singular integrals and their analogs. Multi-parameter Singular Integrals will interest graduate students and researchers working in singular integrals and related fields.

• | Author: Brian Street
• | Publisher: Princeton University Press
• | Publication Date: Oct 05, 2014
• | Number of Pages: 416 pages
• | Language: English
• | Binding: Paperback
• | ISBN-10: 0691162522
• | ISBN-13: 9780691162522