Description
Book SynopsisThis 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
Table of Contents*FrontMatter, pg. i*Contents, pg. v*Preface, pg. ix*1. The Calderon-Zygmund Theory I: Ellipticity, pg. 1*2. The Calderon-Zygmund Theory II: Maximal Hypoellipticity, pg. 39*3. Multi-parameter Carnot-Caratheodory Geometry, pg. 198*4. Multi-parameter Singular Integrals I: Examples, pg. 223*5. Multi-parameter Singular Integrals II: General Theory, pg. 268*Appendix A. Functional Analysis, pg. 363*Appendix B. Three Results from Calculus, pg. 376*Appendix C. Notation, pg. 380*Bibliography, pg. 383*Index, pg. 393
