Exact constants in theorems on the boundedness of singular operators
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).
KeywordsSingular Integral Operator Interpolation Theorem Left Half Plane Singular Operator Local Principle
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