Abstract:
Necessary and sufficient conditions are obtained for bisingular integral operators on piecewise smooth Lyapunov curves with discontinuous coefficients in the Lp-spaces with a weight to be Noetherian. The Banach algebra generated by these operators is studied; a regularizer is constructed in the case of continuous coefficients.
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\Bibitem{Dud76}
\by R.~V.~Duduchava
\paper On bisingular integral operators with discontinuous coefficients
\jour Math. USSR-Sb.
\yr 1976
\vol 30
\issue 4
\pages 515--537
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\crossref{https://doi.org/10.1070/SM1976v030n04ABEH002286}
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This publication is cited in the following 13 articles:
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Bottcher A., Silbermann B., “The Finite Section Method for Toeplitz-Operators on the Quarter-Plane with Piecewise Continuous Symbols”, Math. Nachr., 110 (1983), 279–291
Martin Costabel, Operator Theory: Advances and Applications, 4, Toeplitz Centennial, 1982, 211
Martin Costabel, “Singular integral operators on curves with corners”, Integr equ oper theory, 3:3 (1980), 323
A. V. Glebov, V. M. Deundyak, “Homotopic classification of noetherian systems of singular and bisingular integral operators with discontinuous coefficients”, Funct. Anal. Appl., 12:3 (1978), 222–224
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