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)


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).


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

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