Advertisement

Exact constants in theorems on the boundedness of singular operators

  • Israel Gohberg
  • Naum Krupnik
Part of the Operator Theory: Advances and Applications book series (OT, volume 54)

Abstract

In the ninth chapter we derived upper estimates for the norm and the quotient norm of singular operators on spaces L p (Γ, ρ). Now we are going to show that these estimates are exact for the operator SΓ in the spaces L p (Γ, ρ) as well as for the operators aI + bSΓ in L2(Γ, ρ). These results will be used to obtain sufficient conditions for the Fredholmness of singular integral operators in L p (Γ, ρ).

Keywords

Singular Integral Operator Interpolation Theorem Left Half Plane Singular Operator Local Principle 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Basel AG 1992

Authors and Affiliations

  • Israel Gohberg
    • 1
  • Naum Krupnik
    • 2
  1. 1.School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact SciencesTel Aviv UniversityTel AvivIsrael
  2. 2.Department of MathematicsBar Ilan UniversityRamat GanIsrael

Personalised recommendations