On the Noethericity of linear singular integral equations in weighted Lebesgue spaces

Abstract

Under general assumptions with respect to the integration contour $\Gamma$ and a weight function $\omega$, the question of noetherianness of a linear singular integral equation with bounded measurable coefficients in a weighted Lebesgue space $L_p(\Gamma ;\omega )$ is reduced to the investigation of noetherianness of a similar equation in a space without weight $L_p(\Gamma )$.