Advertisement

4. The Cauchy singular integral operator on Ahlfors regular sets

  • Hervé PajotEmail author
Chapter
  • 358 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 1799)

Abstract

  • 1 The Hilbert transform

  • 2 Singular integral operators

  • 3 The Hardy-Littlewood maximal operator

  • 4 The Calderón-Zygmund theory

  • 5 The T1 and the Tb theorems

  • 6 L2 boundedness of the Cauchy singular operator on Lipschitz graphs

  • 7 Cauchy singular operator and rectifiability

Mathematics Subject Classification (2000):

28A75 30C85 42B20 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin/Heidelberg 2002

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Cergy-PontoiseCergy-Pontoise CedexFrance

Personalised recommendations