Multi-Parameter Singular Integrals, Volume I

By Brian Street

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.

• Format: Paperback
• Language: English
• ISBN: 0691162522
• ISBN13: 9780691162522
• Release Date: October 2014
• Publisher: Princeton University Press
• Length: 416 Pages
• Weight: 1.52 lbs.
• Dimensions: 1.0" x 6.1" x 9.6"