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Multi-parameter Singular Integrals, Volume I

Bag om Multi-parameter Singular Integrals, Volume I

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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  • Sprog:
  • Engelsk
  • ISBN:
  • 9780691162522
  • Indbinding:
  • Paperback
  • Sideantal:
  • 416
  • Udgivet:
  • 5. oktober 2014
  • Størrelse:
  • 167x237x26 mm.
  • Vægt:
  • 694 g.
  • BLACK WEEK
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Leveringstid: 8-11 hverdage
Forventet levering: 9. december 2024

Beskrivelse af Multi-parameter Singular Integrals, Volume I

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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