Necessary Conditions for Fredholmness of Singular Integral Operators with Shifts and Slowly Oscillating Data

Alexei Yu. Karlovich, Yuri I. Karlovich, Amarino B. Lebre

Suppose $\alpha$ is an orientation-preserving diffeomorphism (shift) of $\mR_+=(0,\infty)$ onto itself with the only fixed points $0$ and $\infty$. In \cite{KKLsufficiency} we found suf…