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-para...
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| Format: | eBook |
| Language: | English |
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Princeton, N.J.
Princeton University Press
[2014]©2014, 2014
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| Series: | Annals of Mathematics Studies
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| Online Access: | |
| Collection: | DeGruyter MPG Collection - Collection details see MPG.ReNa |
| 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. 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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| Item Description: | Mode of access: Internet via World Wide Web |
| Physical Description: | online resource416p. illustrations |
| ISBN: | 9781400852758 |