Overview
This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carath odory balls. Brian Street first details the classical theory of Calder n-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Carath odory 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.
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Details
- ISBN-13: 9780691162522
- ISBN-10: 0691162522
- Publisher: Princeton University Press
- Publish Date: October 2014
- Dimensions: 9.55 x 6.14 x 0.98 inches
- Shipping Weight: 1.52 pounds
- Page Count: 416
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