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).
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© 1992 Springer Basel AG
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Gohberg, I., Krupnik, N. (1992). Exact constants in theorems on the boundedness of singular operators. In: One-Dimensional Linear Singular Integral Equations. Operator Theory: Advances and Applications, vol 54. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8602-4_9
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DOI: https://doi.org/10.1007/978-3-0348-8602-4_9
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9697-9
Online ISBN: 978-3-0348-8602-4
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