TY  - BOOK
AU  - Street,Brian
TI  - Multi-parameter singular integrals
T2  - Annals of mathematics sudies
SN  - 9780691162522 (pbk. : alk. paper)
U1  - 515.98 23
PY  - 2014///
CY  - Princeton :  
PB  - Princeton University Press,     
KW  - Singular integrals
KW  - Transformations (Mathematics)
N1  - Includes bibliographical references (pages 383-392) and index; 1. The Calderón-Zygmund theory I : ellipticity --
2. The Calderón-Zygmund theory II : maximal hypoellipticity --
3. Multi-parameter Carnot-Carathéodory geometry --
4. Multi-parameter singular integrals I : examples --
5. Multi-parameter singular integrals II : general theory --
A. Functional analysis --
B. Three results from calculus --
C. Notation--
Bibliography--
Index
N2  - 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
ER  -