Multi-parameter Singular Integrals, Volume I
Paperback
ebook
- Sale Price:
- $61.60/£52.50
- Price:
-
$88.00/£75.00 - ISBN:
- Published:
- Oct 5, 2014
- Copyright:
- 2015
- 7 line illus.
- Main_subject:
- Mathematics
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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.