On bisingular integral operators with discontinuous coefficients

R. V. Duduchava

Sbornik. Mathematics, Tome 30 (1976) no. 4, pp. 515-537

Résumé

Necessary and sufficient conditions are obtained for bisingular integral operators on piecewise smooth Lyapunov curves with discontinuous coefficients in the $L_p$-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. Bibliography: 40 titles.

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