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Multi-parameter Singular Integrals. (AM-189)
     

Multi-parameter Singular Integrals. (AM-189)

by Brian Street
 

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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

Overview

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.

Product Details

ISBN-13:
9780691162522
Publisher:
Princeton University Press
Publication date:
10/05/2014
Series:
Annals of Mathematics Studies Series
Pages:
416
Sales rank:
991,083
Product dimensions:
6.10(w) x 9.10(h) x 1.10(d)

Related Subjects

Meet the Author

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

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