In the interesting paper under review, the author studies the weighted boundedness of the Cauchy singular integral operator
in the framework of the Morrey spaces
on curves satisfying the arc-chord condition, for a class of “radial type” almost monotonic weights. The non-weighted boundedness is shown to hold over an arbitrary Carleson curve, while the weighted boundedness is reduced to the boundedness of weighted Hardy operators in Morrey spaces
Conditions are found for the weighted Hardy operators in order to be bounded in Morrey spaces. To cover the case of curves, the author extends the boundedness of the Hardy-Littlewood maximal operator in Morrey spaces, known in the Euclidean setting, to the case of Carleson curves.