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 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.
- ISBN10 0691162522
- ISBN13 9780691162522
- Publish Date 5 October 2014 (first published 1 January 2014)
- Publish Status Active
- Publish Country US
- Imprint Princeton University Press
- Format Paperback (US Trade)
- Pages 416
- Language English
- URL https://press.princeton.edu/titles/10409.html