Noetherian solvability of an operator singular integral equation with a Carleman shift in fractional spaces

Abstract

In this paper, we obtain conditions of Noetherian solvability and the Index formula for a singular integral equation with a Cauchy kernel and a Carleman shift in Besov space, which is embedded into the space of continuous functions on a closed Lyapunov contour, but not into the class of functions satisfying Hölder condition.

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