Abstract
The norm of the above-mentioned operatorS is computed on the unions of parallel lines or concentric circles. The upper bound is found for its norm on the ellipse. In case of weighted spaces on the unit circle, the exact norm is found for some rational weights, and necessary and sufficient conditions on the weight are established, under which the essential norm ofS equals 1.
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Feldman, I., Krupnik, N. & Spitkovsky, I. Norms of the singular integral operator with Cauchy Kernel along certain contours. Integr equ oper theory 24, 68–80 (1996). https://doi.org/10.1007/BF01195485
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DOI: https://doi.org/10.1007/BF01195485