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math.FA2011
On singular integral operators with semi-almost periodic coefficients on variable Lebesgue spaces
Alexei Yu. Karlovich, Ilya M. Spitkovsky
Let be a semi-almost periodic matrix function with the almost periodic representatives and at and , respectively. Suppose $p:\mathbb{R}\to(1,\inf…
math.FA2010
Sufficient Conditions for Fredholmness of Singular Integral Operators with Shifts and Slowly Oscillating Data
Alexei Yu. Karlovich, Yuri I. Karlovich, Amarino B. Lebre
Suppose is an orientation preserving diffeomorphism (shift) of $\mR_+=(0,\infty)$ onto itself with the only fixed points and . We establish sufficient conditions fo…