Geodesic
On a~class of singular integral operators with kernels of polar-logarithmic type
Izvestiya. Mathematics , Tome 10 (1976) no. 1, pp. 127-143

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Integral operators with polar-logarithmic kernels which arise in connection with a problem of F. D. Gahov are studied in the space $L_p(\mathscr L)$. Necessary and sufficient conditions that the operator be Noetherian and a formula for the index of the operators are obtained. A complete solution of Gahov's problem is obtained. Bibliography: 10 titles. 
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     author = {N. L. Vasilevskii},
     title = {On a~class of singular integral operators with kernels of polar-logarithmic type},
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N. L. Vasilevskii. On a~class of singular integral operators with kernels of polar-logarithmic type. Izvestiya. Mathematics , Tome 10 (1976) no. 1, pp. 127-143. http://geodesic.mathdoc.fr/item/IM2_1976_10_1_a7/