Multi-Parameter Singular Integrals, Volume I

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.

About the author

Brian Street is assistant professor of mathematics at the University of Wisconsin-Madison.

Summary

This book develops a new theory of multi-parameter singular integrals associated with Carnot-Caratheodory balls. Brian Street first details the classical theory of Calderon-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Caratheodory geometry, where the main

Product details

• Authors: Brian Street, Brian Street, Street Brian
• Assisted by: Phillip Griffiths (Editor), John N. Mather (Editor), Elias Stein (Editor)
• Publisher: Princeton University Press
• Languages: English
• Product format: Paperback / Softback
• Released: 05.10.2014
• EAN: 9780691162522
• ISBN: 978-0-691-16252-2
• No. of pages: 416
• Series: Annals of Mathematics Studies; Annals of Mathematics Studies
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Calculus, Integral calculus & equations, Integral calculus and equations