Multi-parameter singular integrals
"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 aris…
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- Full title :Multi-parameter singular integrals / Brian Street.
Summary
"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"--
Read More ↓Edition Statements
- Publication Date:2014.
Publication Statements
- Publisher(s):Princeton University Press
- Place of Publication:Princeton
- Language:eng
- Publication Date:2014.
The Physical Object
- Description:xiii, 395 pages ; : 24 cm.
Edition Identifiers
- ISBN:9780691162515, 0691162514, 9780691162522, 0691162522
- oclc:ocn862962338
- LC Classification:QA329.6
- Dewey Decimal:515/.98
Table of Contents
The Calderón-Zygmund theory I : ellipticity -- The Calderón-Zygmund theory II : maximal hypoellipticity -- Multi-parameter Carnot-Carathéodory geometry -- Multi-parameter singular integrals I : examples -- Multi-parameter singular integrals II : general theory -- A. Functional analysis -- B. Three results from calculus -- C. Notation.
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