Multi-parameter Singular Integrals. , Volume I
Publisher: Princeton University Press
Published: Oct 05, 2014
Language: eng
Format: paperback
Number of pages: 416
ISBN-13: 9780691162522
Description: 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.--
Notes: Source title: Multi-parameter Singular Integrals. (AM-189), Volume I (Annals of Mathematics Studies)