Abstract
Some sufficient conditions under which a singular operator with bounded measurable coefficients is a Φ-operator in the space L2(Γ) are established. If the contour of integration is a closed Lyapunov contour, then these conditions coincide with the well-known conditions of Simonenko and are also necessary for the operator under consideration to be Noetherian.
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Translated from Matematicheskie Zametki, Vol. 21, No. 3, pp. 409–414, March, 1977.
The author is thankful to N. Ya. Krupnik for help with this article.
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Nyaga, V.I. Singular integral operators along a complex contour. Mathematical Notes of the Academy of Sciences of the USSR 21, 228–231 (1977). https://doi.org/10.1007/BF01106749
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DOI: https://doi.org/10.1007/BF01106749