Multi-parameter Singular Integrals. (AM-189), Volume I / / Brian Street.

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-para...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2014]
©2015
Year of Publication:2014
Edition:Course Book
Language:English
Series:Annals of Mathematics Studies ; 189
Online Access:
Physical Description:1 online resource (416 p.) :; 7 line illus.
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Table of Contents:
  • Frontmatter
  • Contents
  • Preface
  • 1. The Calderón-Zygmund Theory I: Ellipticity
  • 2. The Calderón-Zygmund Theory II: Maximal Hypoellipticity
  • 3. Multi-parameter Carnot-Carathéodory Geometry
  • 4. Multi-parameter Singular Integrals I: Examples
  • 5. Multi-parameter Singular Integrals II: General Theory
  • Appendix A. Functional Analysis
  • Appendix B. Three Results from Calculus
  • Appendix C. Notation
  • Bibliography
  • Index