Multi-parameter singular integrals

Author(s)

• Street, Brian

Bibliographic Information

Multi-parameter singular integrals

Brian Street

（Annals of mathematics studies, no. 189）

Princeton University Press, 2014

• : pbk
• : hbk

Note

Includes bibliographical references (p. [383]-392) and index

Description and Table of Contents

Volume

: hbk ISBN 9780691162515

Description

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.

Volume

: pbk ISBN 9780691162522

Description

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.

Table of Contents

*FrontMatter, pg. i*Contents, pg. v*Preface, pg. ix*1. The Calderon-Zygmund Theory I: Ellipticity, pg. 1*2. The Calderon-Zygmund Theory II: Maximal Hypoellipticity, pg. 39*3. Multi-parameter Carnot-Caratheodory Geometry, pg. 198*4. Multi-parameter Singular Integrals I: Examples, pg. 223*5. Multi-parameter Singular Integrals II: General Theory, pg. 268*Appendix A. Functional Analysis, pg. 363*Appendix B. Three Results from Calculus, pg. 376*Appendix C. Notation, pg. 380*Bibliography, pg. 383*Index, pg. 393

by "Nielsen BookData"

Details

• NCID: BB16680379
• ISBN:
  • 9780691162522
  • 9780691162515
• LCCN: 2013045259
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Princeton
• Pages/Volumes: xiii, 395 p.
• Size: 24 cm
• Classification:
  • LCC : QA329.6
  • DC23 : 515/.98
• Subject Headings:
  • LCSH : Singular integrals
  • LCSH : Transformations (Mathematics)
• Parent Bibliography ID:
  • BA00300336