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.

Über den Autor / die Autorin

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

Zusammenfassung

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

Produktdetails

• Autoren: Brian Street, Brian Street, Street Brian
• Mitarbeit: Phillip Griffiths (Herausgeber), John N. Mather (Herausgeber), Elias Stein (Herausgeber)
• Verlag: Princeton University Press
• Sprache: Englisch
• Produktform: Taschenbuch
• Erschienen: 05.10.2014
• EAN: 9780691162522
• ISBN: 978-0-691-16252-2
• Seiten: 416
• Serien: Annals of Mathematics Studies; Annals of Mathematics Studies
• Themen: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Analysis; MATHEMATICS / Calculus, Integral calculus & equations, Integral calculus and equations