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A note on the Fredholm theory of singular integral operators with Cauchy and Mellin kernels

  • Peter JunghannsEmail author
  • Robert Kaiser
Chapter
Part of the Operator Theory: Advances and Applications book series (OT, volume 271)

Abstract

A result on the necessity and sufficiency of conditions for the Fredholmness of singular integral operators in weighted Lp -spaces on the interval (0, 1) of the real axis ℝ is proved together with a respective Fredholm index formula. These operators are composed by the Cauchy singular integral operator, Mellin operators and operators of multiplication by piecewise continuous functions.

Keywords

Singular integral operators Cauchy kernel Mellin kernel Fredholm theory 

Mathematics Subject Classification (2010)

Primary 45E05 Secondary 45E10 

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Chemnitz University of Technology, Faculty of MathematicsChemnitzGermany

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