One-dimensional singular integral equations with coefficients vanishing on countable sets

V. B. Dybin

Izvestiya. Mathematics , Tome 31 (1988) no. 2, pp. 245-271.

Résumé

On the basis of the principle of normalization of linear operators a general method is constructed for investigating one-dimensional singular integral equations in the space $L_p(\Gamma,\rho)$ in the case when their coefficients are degenerate on countable sets. In particular, zero sets satisfying the Carleson $\delta$-condition are studied, along with the images of such sets under linear fractional transformations. Bibliography: 38 titles.

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