Mathematics – Functional Analysis
Scientific paper
2010-09-28
Mathematics
Functional Analysis
32 pages
Scientific paper
Suppose $\alpha$ is an orientation preserving diffeomorphism (shift) of $\mR_+=(0,\infty)$ onto itself with the only fixed points $0$ and $\infty$. We establish sufficient conditions for the Fredholmness of the singular integral operator \[ (aI-bW_\alpha)P_++(cI-dW_\alpha)P_- \] acting on $L^p(\mR_+)$ with $1
Karlovich Alexei Yu.
Karlovich Yuri I.
Lebre Amarino B.
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