Singular integral operators in the case of a piecewise Lyapunov contour

Abstract

The article attempts to present the results obtained by the author in recent years (in a number of cases with some additions) on the theory of singular integral equations and Riemann boundary value problems in the case of a piecewise Lyapunov contour. It has a survey character of problems and results related to the influence of corner points of integration contour on various properties of singular operators. At the same time, much attention is paid to the research of other authors related to the scientific interests of the author of this work.