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.
Acknowledgments
The authors thank the anonymous referees for reading the paper carefully and providing thoughtful comments, which improved the exposition of the paper and for bringing reference [Citation11] to their attention.
Disclosure statement
No potential conflict of interest was reported by the author(s).