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Multi-Parameter Singular Integrals, Volume I

Multi-Parameter Singular Integrals, Volume I

Paperback

Series: Annals of Mathematics Studies, Book 189

CalculusGeneral Mathematics

ISBN10: 0691162522
ISBN13: 9780691162522
Publisher: Princeton University Press
Published: Oct 5 2014
Pages: 416
Weight: 1.52
Height: 0.98 Width: 6.14 Depth: 9.55
Language: English

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.

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Calculus