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Singular integral operators

  • Steffen Roch
  • Pedro A. Santos
  • Bernd Silbermann
Part of the Universitext book series (UTX)

Abstract

Algebras generated by singular integral operators and convolution operators are one of the numerous instances where local principles and projection theorems have been successfully applied. And conversely, it was mainly the study of these algebras which stimulated the development of local principles and projection theorems as a tool in operator theory. We will now give a thorough exposition of algebras generated by singular integral operators on Lebesgue spaces over admissible curves. Note that we have already encountered singular integral operators on the unit circle in the previous chapters.

Keywords

Singular Integral Operator Hankel Operator Local Algebra Isometric Isomorphism Essential Norm 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  • Steffen Roch
    • 1
  • Pedro A. Santos
    • 2
  • Bernd Silbermann
    • 3
  1. 1.Fachbereich MathematikTechnische Universität DarmstadtDarmstadtGermany
  2. 2.Instituto Superior Técnico, Departamento de MatemáticaUniversidade Técnica de LisboaLisboaPortugal
  3. 3.Fakultät für MathematikTechnische Universität ChemnitzChemnitzGermany

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