RO  EN
IMI/Publicaţii/BASM/Ediţii/BASM n.2 (24), 1997/

Singular integral operators with generalized Carleman shift in the case of an unbounded contour. (Russian)

Authors: Nyaga V. I.

Abstract

In the paper singular integral operators with shift and continuous coefficients are studied. Operators are considered in the space $L_{p} $ with weight depending on the shift. The contour is supposed to be unbounded but piece wise Lyapunov. The symbol of the considered operators is constructed. It turns out that the symbol is a matrix-function of variable order and depending of $p,$ of shifting function and of weight. It is established a test for an operator to be Fredholm and a formula for the index.

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