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

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 H\"{o}lder condition.

N.K. Bliev, K.S. Tulenov · 2019